The corresponding sides of 2 similar triangles $△ A B C$ and $△ P Q R$ are in the ratio 5:2. Given that AB=3 cm and AC=10 cm,the length of side PR (in cm) is___________.

5cm

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6cm

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4cm

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3cm

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Solution

The correct option is C
4cm

$△ A B C$ and $△ P Q R$ are similar. So, $\frac{A C}{P R}$ is equal to the ratio of corresponding sides.

$\frac{A C}{P R}$ = $\frac{5}{2}$ .

Therefore, PR = ( $\frac{2}{5}$ ) AC

PR = 4cm.

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The corresponding sides of 2 similar triangles △ABC and △PQR are in the ratio 5:2. Given that AB=3 cm and AC=10 cm,the length of side PR (in cm) is___________.

The correct option is C 4cm △ABC and △PQR are similar. So, ACPR is equal to the ratio of corresponding sides. ACPR = 52. Therefore, PR = (25) AC PR = 4cm.

The corresponding sides of 2 similar triangles $△ A B C$ and $△ P Q R$ are in the ratio 5:2. Given that AB=3 cm and AC=10 cm,the length of side PR (in cm) is___________.

The correct option is C
4cm

$△ A B C$ and $△ P Q R$ are similar. So, $\frac{A C}{P R}$ is equal to the ratio of corresponding sides.

$\frac{A C}{P R}$ = $\frac{5}{2}$ .

Therefore, PR = ( $\frac{2}{5}$ ) AC

PR = 4cm.