Question

Can someone help me on this one ... this is pythagorean theorem and converse geometry

Answer 1

The correct answer is D.

Explanation:

According to the Pythagorean Theorem, the legs of a right triangle squared and added together is equivalent to the hypotenuse squared. To solve for x, you can use any of the two right triangles. Each of the bottom legs of the right triangles is 9 units since the two right triangles are congruent, so now we apply the Pythagorean Theorem to solve for x.
`x^2+9^2=19^2` ⇒
`x^2+81 = 361` ⇒
`x^2 = 280` ⇒
`x = √(280)` ⇒
`x = √(4 * 70)` ⇒
`x = √(4) * √(70)` ⇒
`x = 2√(70)`.