Question

If ABCD is an isosceles trapezoid, what is the value of x?
AC = 5x - 25
BD = 3x + 11

Answer 1

Explanation:

18

Answer 2

The value of x is 18.

Explanation:

Given : If ABCD is an isosceles trapezoid. AC = 5x - 25 and BD = 3x + 11

To find : What is the value of x?

Solution :

ABCD is isosceles trapezoid.

An isosceles trapezoid has a pair of parallel sides.

∴ AB∥CD

Its non parallel sides are equal.

∴ AD=BC

Diagonals of an isosceles trapezoid are equal.

⇒ AC=BD

Substituting the value,

`5x-25=3x+11`

`5x-3x=25+11`

`2x=36`

`x=(36)/(2)`

`x=18`

Therefore, the value of x is 18.