Answer:
The value of x is 18.
Step-by-step 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,
[tex]5x-25=3x+11[/tex]
[tex]5x-3x=25+11[/tex]
[tex]2x=36[/tex]
[tex]x=\frac{36}{2}[/tex]
[tex]x=18[/tex]
Therefore, the value of x is 18.
