Question

find the perimeter of △wxy. round your answer to the nearest tenth if necessary. figures are not necessarily drawn to scale.

Explanation:

Step1: Check triangle similarity

Triangles TVU and WXY have 88° and 54° angles, so AA similar.

Step2: Find similarity ratio

Ratio = 4.8/4 = 1.2 (corresponding 54° sides).

Step3: Calculate unknown side WX

WX = 3 * 1.2 = 3.6 (corresponding 38° sides).

Step4: Sum sides for perimeter

Perimeter = 6 + 4.8 + 3.6 = 14.4.

Answer:

14.4