Question

Jacks tent is shaped like an isosceles triangle. The height of the tent measures 7 feet and the diagonal side measures 9 feet. Find the length of the base

Answer 1

Answer:

The length of the tent's base is $8\sqrt{2}$.

Step-by-step explanation:

Given : Jacks tent is shaped like an isosceles triangle. The height of the tent measures 7 feet and the diagonal side measures 9 feet.

To find : The length of the base ?

Solution :

Let x denote the length of the tent's base.

Refer the attached figure below.

Using Pythagorean Theorem,

$9^{2} =7^{2} +(\frac{x}{2} )^2$

$81=49+\frac{x^{2} }{4}$

$324=196+x^{2}$

$x^{2} =128$

Taking square root on both sides,

$x=\sqrt{128}$

$x=8\sqrt{2}$

Therefore, the length of the tent's base is $8\sqrt{2}$.

Answer 2

Answer:

 5/2

Explanation:

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