Question

△big is similar to △mop. find the value of x.
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x =
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Explanation:

Step1: Use the property of similar triangles

For similar triangles \(\triangle BIG\) and \(\triangle MOP\), the ratios of corresponding sides are equal.
We have \(\frac{IG}{MO}=\frac{BG}{MP}\)
Given \(IG = 36\mathrm{cm}\), \(MO=x\mathrm{cm}\), \(BG = 40\mathrm{cm}\), \(MP=33\mathrm{cm}\)
So, \(\frac{36}{x}=\frac{40}{33}\)

Step2: Cross - multiply to solve for \(x\)

Cross - multiplying gives \(40x=36\times33\)
\(40x = 1188\)
Then \(x=\frac{1188}{40}=29.7\)

Answer:

\(29.7\)