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In a right triangle, the legs are in the ratio 3 : 4 and the hypotenuse is 30 cm.
Find the length of the shorter leg.

Class 7Pythagoras PropertyTriangles

A19
B18
C17
D36

Step-by-Step Solution

Let legs be 3

k

and 4

k

. Then

(3 k)^{2} + (4 k)^{2} = 3 0^{2}

, so

9 k^{2} + 16 k^{2} = 900, 25 k^{2} = 900, k^{2} = 36, k = 6

. Shorter leg =

3 k = 18

cm.

Answer: B) 18

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