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

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

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Example Questions

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

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

Possible Answers:

Correct answer:

Explanation:

Use the formula to find the area of a triangle.

Now, plug in the values for the area and the base to solve for height .

The height of the triangle is .

Example Question #61 : Acute / Obtuse Triangles

A triangle has an area of  and a base of . In meters, find the height.

Possible Answers:

Correct answer:

Explanation:

Use the formula to find the area of a triangle.

Now, plug in the values for the area and the base to solve for height .

The height of the triangle is  meters.

Example Question #62 : Acute / Obtuse Triangles

A triangle has an area of  and a base of . Find the height.

Possible Answers:

Correct answer:

Explanation:

Use the formula to find the area of a triangle.

Now, plug in the values for the area and the base to solve for height .

The height of the triangle is .

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

A triangle has an area of  and a base of . Find the height.

Possible Answers:

Correct answer:

Explanation:

Use the formula to find the area of a triangle.

Now, plug in the values for the area and the base to solve for height .

The height of the triangle is .

Example Question #64 : Acute / Obtuse Triangles

A triangle has an area of  and a base of . Find the height.

Possible Answers:

Correct answer:

Explanation:

Use the formula to find the area of a triangle.

Now, plug in the values for the area and the base to solve for height .

The height of the triangle is .

Example Question #65 : Acute / Obtuse Triangles

A triangle has an area of  and a base of . Find the height.

Possible Answers:

Correct answer:

Explanation:

Use the formula to find the area of a triangle.

Now, plug in the values for the area and the base to solve for height .

The height of the triangle is .

Example Question #3 : How To Find The Height Of An Acute / Obtuse Triangle

A triangle has an area of  and a base of . In terms of , find the height.

Possible Answers:

Correct answer:

Explanation:

Use the formula to find the area of a triangle.

Now, plug in the values for the area and the base to solve for height .

The height of the triangle is .

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

A triangle has an area of  and a base of . In terms of , find the height.

Possible Answers:

Correct answer:

Explanation:

Use the formula to find the area of a triangle.

Now, plug in the values for the area and the base to solve for height .

The height of the triangle is .

Example Question #68 : Acute / Obtuse Triangles

A triangle has an area of  and a base of . What is the height?

Possible Answers:

Correct answer:

Explanation:

Use the formula to find the area of a triangle.

Now, plug in the values for the area and the base to solve for height .

The height of the triangle is .

Example Question #69 : Acute / Obtuse Triangles

A triangle has an area of  and a base of . Find the height.

Possible Answers:

Correct answer:

Explanation:

Use the formula to find the area of a triangle.

Now, plug in the values for the area and the base to solve for height .

The height of the triangle is .

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