Question

7.2 assignment
possible points: 0.74
triangles rst and wxy are similar. the side lengths of rst are 10 inches, 14 inches, and 20 inches. the shortest side of wxy is 15 inches long.
find the length of the other two sides of wxy.
longest side =
inches
second longest side =
inches

Explanation:

Step1: Find the scale factor

The shortest side of \( RST \) is 10 inches, and the shortest side of \( WXY \) is 15 inches. The scale factor \( k \) is the ratio of the corresponding sides, so \( k=\frac{15}{10} = 1.5\).

Step2: Find the second longest side of \( WXY \)

The second longest side of \( RST \) is 14 inches. Multiply by the scale factor: \( 14\times1.5 = 21 \) inches.

Step3: Find the longest side of \( WXY \)

The longest side of \( RST \) is 20 inches. Multiply by the scale factor: \( 20\times1.5 = 30 \) inches.

Answer:

Longest side = 30 inches
Second longest side = 21 inches