The triangle PQR is reduced to form triangle STU. Calculate the scale factor.

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$\frac{1}{3}$

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$\frac{1}{2}$

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Solution

The correct option is C
$\frac{1}{2}$

Since the given trianlges are similar, the ratio of their sides will give scale factor

$\frac{P Q}{S T}$ = $\frac{8}{4}$ = $\frac{1}{2}$

$\frac{P R}{S U}$ = $\frac{12}{6}$ = $\frac{1}{2}$

$\frac{Q R}{T U}$ = $\frac{10}{5}$ = $\frac{1}{2}$

Scale factor is $\frac{1}{2}$ .

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The triangle PQR is reduced to form triangle STU. Calculate the scale factor.

The correct option is C 12 Since the given trianlges are similar, the ratio of their sides will give scale factor PQST = 84 = 12 PRSU = 126 = 12 QRTU = 105 = 12 Scale factor is 12.