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

Study concepts, example questions & explanations for SSAT Upper Level Math

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Example Questions

Example Question #11 : 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?

Possible Answers:

Correct answer:

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 #82 : Acute / Obtuse Triangles

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

Possible Answers:

 

 

 

 

Correct answer:

 

Explanation:

Find the area of the triangle by using the formula .

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

Don't forget to include the units,  

Example Question #173 : Properties Of Triangles

The base of a triangle is , and the height of the triangle is . If the area of the triangle is , what is the value of ?

Possible Answers:

Correct answer:

Explanation:

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

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

Use algebraic opertions to solve for x.

Example Question #174 : Properties Of Triangles

The height of the triangle is , and the base of the triangle is . If the area of the triangle is , what is the value of ?

Possible Answers:

Correct answer:

Explanation:

Use the formula for the area of a triangle.

Substitute in  for height,  for the base, and  for the area.

From here, use algebraic operations to isolate d on one side and all other numbers on the other side.

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