Question

In square ABCD, AC = 6x + 10, and BD = 10x + 2. What is the length of AC?

Hint: Diagonals are congruent, hence AC = BD
A)11
B)22
C)3.5
D)2

Answer 1

B) 22

Explanation:

AC = BD

6x+10 = 10x+2

simplify:

subtract 6x and 2 from both sides:

4x = 8

x = 2

then:

AC = 6(2)+10 = 22