If AC -10 cm - AB - PQ -2- whereABC - PQR- then PR -A- 5 cmB- 10 cmC- 20 cm

The correct option is A 5 cmGiven, nbsp; Δ ABC ∼Δ PQR. So, the ratios of their corresponding sides are equal. ∴ nbsp;AB/PQ = nbsp;BC/QR = nbsp;AC/PR ...

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Standard VII

Mathematics

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If AC =10 cm ...

Question

$If AC= 10 cm, \frac{A B}{P Q} = 2, where △ A B C \sim △ P Q R, then PR =$ .

5 cm

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10 cm

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20 cm

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Solution

The correct option is A 5 cm
$Given, Δ A B C \sim Δ P Q R .$
$So, the ratios of their corresponding sides are equal.$

$∴ \frac{A B}{P Q} = \frac{B C}{Q R} = \frac{A C}{P R}$

$Given: \frac{A B}{P Q} = 2$

$∴ \frac{A C}{P R} = 2$

$\Rightarrow \frac{10}{P R} = 2$

$\Rightarrow P R = \frac{10}{2} = 5 c m$

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If AC= 10 cm, ABPQ=2, where △ABC∼△PQR, then PR = .

The correct option is A 5 cmGiven, ΔABC∼ΔPQR. So, the ratios of their corresponding sides are equal. ∴ABPQ=BCQR=ACPR Given: ABPQ=2 ∴ACPR=2 ⇒10PR=2 ⇒PR=102=5 cm

$If AC= 10 cm, \frac{A B}{P Q} = 2, where △ A B C \sim △ P Q R, then PR =$ .