Question

triangle abc is congruent to triangle xyz. in △abc, ab = 12 cm and ac = 14 cm. in △xyz, yz = 10 cm and xz = 14 cm. what is the perimeter of △abc?

Explanation:

Step1: Identify corresponding sides

Since △ABC ≅ △XYZ, AC=XZ=14cm (given). Assume correspondence A→X, B→Y, C→Z, so AB=XY, BC=YZ.

Step2: Determine BC length

YZ=10cm, so BC=YZ=10cm.

Step3: Calculate perimeter of △ABC

Perimeter = AB + BC + AC = 12 + 10 + 14 = 36cm.

Answer:

36 cm