What Is the Area of the Obtuse Triangle Given Below?

Author Donald Gianassi

Posted Aug 5, 2022

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An obtuse triangle is a triangle in which one of the interior angles is greater than 90 degrees. The area of an obtuse triangle can be found using the formula:

Area = 1/2 * base * height

For the triangle given below, the base is 9 and the height is 12. Therefore, the area of the triangle is 1/2 * 9 * 12 = 54.

What is the area of the obtuse triangle?

An obtuse triangle is a triangle in which one of the angles is greater than 90°. The area of an obtuse triangle can be found using the length of the sides and the angle between them.

To find the area of an obtuse triangle, you need to know the length of the sides and the angle between them. The area of the triangle is:

A = 1/2 * a * b * sin(C)

Where a and b are the lengths of the two shorter sides of the triangle, and C is the angle between them.

You can use this formula to find the area of an obtuse triangle, as long as you know the length of the sides and the angle between them.

What is the length of the longest side of the triangle?

The length of the longest side of a triangle is called the hypotenuse. It is the side opposite the right angle. The other two sides are called the leg or cathetus. The hypotenuse is always the longest side.

What is the length of the shortest side of the triangle?

A triangle is a two-dimensional shape with three straight sides. The length of the shortest side of a triangle is known as the altitude of the triangle. The altitude of a triangle can be found by using the Pythagorean theorem. This theorem states that the square of the length of the hypotenuse (the longest side of the triangle) is equal to the sum of the squares of the other two sides. This means that if the lengths of the other two sides are known, the length of the shortest side can be found by taking the square root of the sum of the squares of the other two sides.

What is the length of the third side of the triangle?

A triangle is a three-sided polygon. The length of the third side of a triangle is unknown if the lengths of the other two sides are unknown. The length of the third side of a triangle is known if the lengths of the other two sides and the angle between them are known. The third side of a triangle is longest when the other two sides are equal in length and the angle between them is a right angle. The third side of a triangle is shortest when the other two sides are unequal in length and the angle between them is a right angle.

What is the height of the triangle?

There are a few different ways to think about the height of a triangle. One way to think about it is the length of the shortest side of the triangle. Another way to think about it is the perpendicular distance from the longest side of the triangle to the opposite vertex.

Let's say we have a triangle with sides of length 3, 4, and 5. The shortest side is the one with length 3, so the height of the triangle is 3.

The other way to think about the height of a triangle is the perpendicular distance from the longest side of the triangle to the opposite vertex. In our triangle with sides of length 3, 4, and 5, the longest side is the one with length 5. The height of the triangle is the perpendicular distance from the longest side to the opposite vertex. This is also 3.

So, the height of the triangle is 3.

What is the angle between the longest side and the shortest side?

In geometry, an angle can be defined as the figure formed by two rays meeting at a common endpoint. Angles are usually represented by the symbol ∠.

There are a few types of angles that are often used in mathematical and scientific calculations. The most common type of angle is the right angle, which is an angle that measures exactly 90°. Other types of angles include acute angles, which measure less than 90°, and obtuse angles, which measure more than 90°.

The angle between the longest side and the shortest side of a triangle is called the angle of incidence. The angle of incidence is the angle between the line of sight and the plane of the object. In a right triangle, the angle of incidence is equal to the angle of altitude.

The angle of incidence is important in many fields, such as architecture, engineering, and optics. In architecture, the angle of incidence is used to determine the pitch of a roof. In engineering, the angle of incidence is used to calculate the forces on a structure. In optics, the angle of incidence is used to determine the direction of light rays.

The angle of incidence can be measured in degrees, minutes, and seconds. The degree of an angle is equal to 1/360 of a circle. The minute of an angle is equal to 1/60 of a degree. The second of an angle is equal to 1/60 of a minute.

The angle between the longest side and the shortest side of a triangle is usually between 0° and 45°.

What is the angle between the longest side and the third side?

The angle between the longest side and the third side of a triangle is called the angle of elevation. It is the angle between the line of sight and the horizontal. A right triangle has one angle of 90 degrees. The angle of elevation is equal to the tangent of the length of the longest side divided by the length of the third side. The angle of elevation can be measured in degrees, radians, or gradians.

What is the angle between the shortest side and the third side?

There are a few things to consider when trying to determine the angle between the shortest side and the third side of a triangle. First, you will need to know the measurements of each side of the triangle. With that information, you can then use a few different formulas to figure out the angle.

The angle between the shortest side and the third side can be determined using the Law of Sines. This formula states that the angle between two sides of a triangle is equal to the sine of the opposite side divided by the length of the hypotenuse. So, in this case, you would take the sine of the shortest side and divide it by the length of the hypotenuse. This will give you the angle in degrees.

Another way to determine the angle is by using the Law of Cosines. This formula states that the cosine of the angle between two sides of a triangle is equal to the length of the hypotenuse squared, minus the length of the other two sides squared, all divided by the product of the length of the two sides. So, in this case, you would take the length of the shortest side and the third side, square them, subtract the square of the length of the hypotenuse, and then divide that by the product of the two sides. This will also give you the angle between the shortest side and the third side in degrees.

Once you have the angle in degrees, you can then convert it to radians if needed. To do this, simply multiply the angle by pi and divide by 180. This will give you the angle in radians.

Now that you know how to determine the angle between the shortest side and the third side, you can use this information to help solve various problems. For example, you could use it to find the shortest distance between two points. You could also use it to determine how large of an object you could fit in a given space. Knowing the angle between the shortest side and the third side can be helpful in many different situations.

How do you calculate the area of an obtuse triangle?

There are a couple different ways that you can go about calculating the area of an obtuse triangle. The most common way is to use the formula:

Area = 1/2 * base * height

However, this formula only works when you have the measure of the base and the height. If you only have the measure of two sides and the angle between them, you can use the following formula:

Area = 1/2 * a * b * sin(C)

Where a and b are the two sides of the triangle and C is the angle between them.

To calculate the area of an obtuse triangle, you will need to know either the measure of the base and height or the measure of two sides and the angle between them. Once you have this information, you can use the appropriate formula to calculate the area.

Frequently Asked Questions

What is an obtuse angle in math?

An obtuse angle is an angle greater than 90 degrees.

What is an obtuse-angled triangle?

An obtuse-angled triangle is a type of triangle whose one of the vertex angles is bigger than 90°. An obtuse-angled triangle has one of its vertex angles as obtuse and other angles as acute angles i.e. if one of the angles measure more than 90°, then the sum of the other two angles is less than 90°.

How do you find the area of an acute triangle?

The area of an acute triangle is represented by the formula: A= (bx^2+cx+d)

What is the formula for the perimeter of an obtuse triangle?

The perimeter of an obtuse triangle is the sum of the measures of all its sides.

How many degrees is an obtuse angle?

90°

Donald Gianassi

Donald Gianassi

Writer at CGAA

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Donald Gianassi is a renowned author and journalist based in San Francisco. He has been writing articles for several years, covering a wide range of topics from politics to health to lifestyle. Known for his engaging writing style and insightful commentary, he has earned the respect of both his peers and readers alike.

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