If ABCD is an isosceles trapezoid, what is the value of x? AC = 7x - 21, BD = 5x + 13
Check the final answer first, then review the worked steps.
Problem
If ABCD is an isosceles trapezoid, what is the value of x? AC = 7x - 21, BD = 5x + 13
Step-by-step solution
In an isosceles trapezoid, the diagonals are equal in length. Therefore, set AC equal to BD and solve for x: $7x - 21 = 5x + 13$. This simplifies to $2x = 34$, so $x = 17$.
Answer
17