Can someone please help me find x

Question

asked Sep 8, 2022 114k views

1 Answer

Khurram Aziz · Answer 1 · 2022-09-13T19:20:52+0000

Answer:

2√(5)

Explanation:

The picture (attached) shows two isosceles right triangles, so the altitude marked x splits the bottom side in half, 4 units and 4 units.

Each triangle is a right triangle with one leg of length 4, hypotenuse 6. Use the Pythagorean Theorem (leg)^2 + (leg)^2 = (hypotenuse)^2.

$4^2+x^2=6^2\\16+x^2=36\\x^2=20\\x=√(20)\\x=2√(5)$