Question

1. the following two triangles are similar. find x. 56 48 x 6 6 4 5 7

Explanation:

Step1: Set up proportion

Since the triangles are similar, the ratios of corresponding sides are equal. So, \(\frac{56}{x}=\frac{48}{6}\).

Step2: Cross - multiply

Cross - multiplying gives \(48x = 56\times6\).

Step3: Calculate right - hand side

\(56\times6=336\), so \(48x = 336\).

Step4: Solve for \(x\)

Divide both sides by 48: \(x=\frac{336}{48}\).

Step5: Simplify

\(\frac{336}{48} = 7\).

Answer:

7