SSAT Upper Level Math : How to find the area of an acute / obtuse triangle

Example Questions

← Previous 1

Example Question #1 : How To Find The Area Of An Acute / Obtuse Triangle

Give the area of the above triangle.

Explanation:

By Heron's formula, the area of a triangle given its sidelengths is

Where  are the sidelengths and

,

or half the perimeter.

Setting

Therefore,

Example Question #1 : Geometry

Give the area of the above triangle.

Explanation:

By Heron's formula, the area of a triangle given its sidelengths is

,

where  are the sidelengths and

,

or half the perimeter.

Setting

.

Therefore,

Example Question #1 : How To Find The Area Of An Acute / Obtuse Triangle

The base of the triangle is . The height of the triangle is a multiple of  between  and . What is the area of the triangle?

Explanation:

First, find the height of the triangle by listing out the multiples of .

Since  is the only multiple of  that is between  and , it must be the height.

Now, find the area of the triangle.

Example Question #2 : How To Find The Area Of An Acute / Obtuse Triangle

The base of an obtuse triangle is , and the height is . What is the area of the triangle?

Explanation:

Use the following formula to find the area of a triangle:

Now, substitute in  for the base and  for the height.

The area of the triangle is .

Example Question #1 : How To Find The Area Of An Acute / Obtuse Triangle

The height of an acute triangle is , and the base is . What is the area of this triangle?

Explanation:

Use the following formula to find the area of a triangle:

Now, substitute in  for the base and  for the height.

The area of the triangle is .

Example Question #4 : How To Find The Area Of An Acute / Obtuse Triangle

The base of a triangle is , and the height is . In terms of , what is the area of the triangle?

Explanation:

Use the following formula to find the area of a triangle:

Now, substitute in  for the base and  for the height.

The area of the triangle is .

Example Question #5 : How To Find The Area Of An Acute / Obtuse Triangle

The base of a triangle is , and the height is . What is the area of this triangle?

Explanation:

Use the following formula to find the area of a triangle:

Now, substitute in  for the base and  for the height.

The area of the triangle is .

Example Question #6 : How To Find The Area Of An Acute / Obtuse Triangle

The height of a triangle is , and the base is . In terms of , what is the area of the triangle?

Explanation:

Use the following formula to find the area of a triangle:

Now, substitute in  for the base and  for the height.

The area of the triangle is .

Example Question #7 : How To Find The Area Of An Acute / Obtuse Triangle

The height of a triangle is , and the base of the triangle is . In terms of , what is the area of the triangle?

Explanation:

Use the following formula to find the area of a triangle:

Now, substitute in  for the base and  for the height.

The area of the triangle is .

Example Question #8 : How To Find The Area Of An Acute / Obtuse Triangle

The height of a triangle is , and the base is . What is the area of the triangle?

Explanation:

Use the following formula to find the area of a triangle:

Now, substitute in  for the base and  for the height.

The area of the triangle is .

← Previous 1