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sertanlavr [38]
3 years ago
13

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

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
3 0

Answer:

  • a = 4√5

Step-by-step explanation:

<u>Given </u>

  • 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

<u>Therefore:</u>

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