Question

Find the value(s) of A so that XYZW is an isosceles trapezoid. All answers should be fully simplified.

Answer 1

• a = 4√5

Explanation:

Given

• Trapezoid XYWZ

As given, sides XW and YZ are parallel and XY = WZ

Since it is isosceles, angles X and W are of same size

Therefore:

• a² + 15 = 2a² - 65
• 2a² - a² = 15 + 65
• a² = 80
• a = √80
• a = 4√5