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QUESTION IMAGE

triangle big is similar to triangle mop. find the value for ( v ). figu…

Question

triangle big is similar to triangle mop. find the value for ( v ).
figure is not drawn to scale.
( v = square ) m
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Explanation:

Step1: Find similarity ratio

$\text{Ratio} = \frac{BG}{PM} = \frac{56}{84} = \frac{2}{3}$

Step2: Set up proportion for sides

$\frac{v}{48} = \frac{2}{3}$

Step3: Solve for $v$

$v = 48 \times \frac{2}{3}$

Answer:

32 m