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 tents base

Question

asked Feb 6, 2021 70.8k views

2 Answers

Ivan Yurchenko · Answer 1 · 2021-02-13T10:54:03+0000

Answer:

$8√(2)\ ft$

Explanation:

see the attached figure to better understand the problem

Remember that

An isosceles triangle has two equal sides and two equal interior angles

In the isosceles triangle ABC

Applying the Pythagorean Theorem

Let

b ----> the length of the tents base

9^2=7^2+(b/2)^2

(b/2)^2=9^2-7^2

(b^2/4)=32

$b^2=128\\\\b=√(128)\ ft$

simplify

$b=8√(2)\ ft$