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Equal Angles Subtend Equal Sides

The perimeter...

Question

The perimeters of two similar triangles ABC and LMN are 60 cm and 48 cm respectively. If LM = 8 cm, length of AB is :

10 cm

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8 cm

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5 cm

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6 cm

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Solution

The correct option is A 10 cm
$\frac{p e r i m e t e r o f Δ A B C}{p e r i m e t e r o f Δ L M N} = \frac{A B}{L M} ⟹ \frac{60}{48} = \frac{A B}{8} ⟹ A B = 10 c m$

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Similar questions

A B C

L M N

60 c m

48 c m

L M = 8 c m

A B

The perimeters of two similar triangles ABC and PQR are respectively 36 cm and 24 cm. If PQ = 10 cm, find AB.

△ A B C

△ D E F

36

24

D E = 10

A B

△ A B C \sim △ D E F

10 D E

△ A B C \sim △ D E F

32 c m

24 c m

A B = 10 c m

D E

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