ecandia1030 ecandia1030

12-11-2020
Mathematics

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

Find the values of A so that XYZW is an isosceles trapezoid All answers should be fully simplified class=

Respuesta :

mhanifa mhanifa

12-11-2020

Answer:

a = 4√5

Step-by-step 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

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