What is the length of the hypotenuse of the triangle when x=7?

Question

asked Sep 18, 2023 173k views

2 Answers

Daxesh Nagar · Answer 1 · 2023-09-23T01:15:04+0000

Answer:

$\approx63$

Explanation:

Let's start by finding the length of each leg.

$7x+7=7(7)+7=49+7=56\\4x=4(7)=28$

Now, we can use the Pythagorean Theorem to find the length of the hypotenuse.

a^2+b^2=c^2

$28^2+56^2=c^2\\784+3136=c^2\\3920=c^2$

Take the square root of both sides:

$c\approx63$