Question

your answers:
1 0/4 points
if △mnp≅△vwx and (overline{pm}) is the shortest side of △mnp, what is the shortest side of △vwx?
○ (overline{wx})
○ (overline{np})
○ (overline{xv})
○ (overline{vw})
2 0/4 points
two triangles are similar. the measure of the shortest side of the first triangle is 12 and the measure of the shortest side of the second triangle is 5. if the longest side of the first triangle measures 15, what is the measure of the longest side of the second triangle?
○ 36
○ 6.25
○ 24
○ 2.4

Explanation:

Step1: Set up proportion

Since the triangles are similar, the ratios of corresponding sides are equal. Let \(x\) be the longest side of the second triangle. The proportion is \(\frac{\text{shortest side of first triangle}}{\text{shortest side of second triangle}}=\frac{\text{longest side of first triangle}}{\text{longest side of second triangle}}\), i.e., \(\frac{12}{5}=\frac{15}{x}\).

Step2: Cross - multiply

Cross - multiplying gives \(12x = 5\times15\).

Step3: Solve for \(x\)

\(12x=75\), then \(x=\frac{75}{12}=6.25\).

Answer:

6.25