Question

In triangle XYZ , ∠X is congruent to ∠Y , as shown in the figure. The perimeter of triangle XYZ is 148 centimeters. Which is the length of XY¯¯¯¯¯¯ ?

Answer 1

46 cm

Explanation:

ΔXYZ is isosceles because the base angles (∠X, ∠Y) are congruent.

Therefore XZ = YZ

(3n - 18) + (3n - 18) + 2n = 148

Solve for n:

6n - 36 + 2n = 148

8n = 184

n = 184/8 = 23

XY = 2n = 2(23) = 46