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Question
- the following two triangles are similar. find x. 7 6 5
Step1: Set up proportion
Since the triangles are similar, the ratios of corresponding sides are equal. So, \(\frac{9}{45}=\frac{x}{25}\).
Step2: Cross - multiply
Cross - multiplying gives \(45x = 9\times25\).
Step3: Solve for \(x\)
First, calculate \(9\times25 = 225\). Then, \(x=\frac{225}{45}\).
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\(x = 5\)