solve for x. Round your answer to nearest hundredth.

Question

Answer 1

On both "ends" of this trapezoid are right triangles:

You can use the Pythagorean Theorem to solve for "a":

a² + 17² = 19²

a² + 289 = 361

a² = 361 - 289

a² = 72

a = √72 = 6√2

So take away 6√2 on both sides from the total of 31 to get x = 31 - 6√2 - 6√2 or a = 31 - 12√2

You can plug this into a calculator to get the approximate numerical value of 14.03