Question

use the given diagram to help answer the question. sam found a tent in his garage, and he needs to find the center height. the sides are both 5 feet long, and the bottom is 6 feet wide. what is the center height of sams tent, to the nearest tenth?

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse and \(a,b\) are the legs. Here, \(c = 5\) (hypotenuse of the right - triangle) and \(a=\frac{6}{2}=3\) (half of the base of the tent). Let \(x\) be the unknown leg. Then \(x^{2}+3^{2}=5^{2}\).

Step2: Solve for \(x\)

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Answer:

4 feet