Question

the two triangles shown are similar
what is the length of the missing side of the larger triangle?
a 8 cm
b 9 cm
c 10 cm
d 12 cm

Explanation:

Step1: Set up proportion

Since the triangles are similar, the ratios of corresponding sides are equal. Let the missing side be \(x\). So, \(\frac{6}{x}=\frac{8}{12}\).

Step2: Cross - multiply

Cross - multiplying gives \(8x = 6\times12\).

Step3: Solve for \(x\)

\(8x=72\), then \(x=\frac{72}{8}=9\).

Answer:

B. 9 cm