High School Math : How to find the height of of an acute / obtuse isosceles triangle

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #1 : Isosceles Triangles

An isosceles triangle has a base of 12\ cm\(\displaystyle 12\ cm\) and an area of 42\ cm^{2}\(\displaystyle 42\ cm^{2}\). What must be the height of this triangle?

Possible Answers:

7\ cm\(\displaystyle 7\ cm\)

10\ cm\(\displaystyle 10\ cm\)

6\ cm\(\displaystyle 6\ cm\)

9\ cm\(\displaystyle 9\ cm\)

8\ cm\(\displaystyle 8\ cm\)

Correct answer:

7\ cm\(\displaystyle 7\ cm\)

Explanation:

A=\frac{1}{2}bh\(\displaystyle A=\frac{1}{2}bh\)

6x=42\(\displaystyle 6x=42\)

x=7\(\displaystyle x=7\)

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