Problem 498

 

ABCD is a trapezoid. If AC is equal to 3x – 7 and BD is equal to 2x + 8, find the value of x so that ABCD is isosceles.

498

 

Solution:-

In a isosceles trapezoid each diagonal are equal.

 

3x – 7 = 2x + 8
x – 7 = 8
x = 15

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