Question

The legs of a right triangle are in the ratio 3 : 4 and its area is 1014 cm. Find the lengths at
its legs.​

Answer 1

Step-by-step explanation:

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Answer 2

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Let it's leg be 3x and 4x.

Then,

Area of right angle triangle = 1/2 × 3x × 4x

1,014 = 6x^2

1,014/6 = x^2

√169 = x

13 cm = x

Hence,

First side = 3×13 = 39 cm

second side = 4×13 = 52 cm.

We know that

H^2 = P^2 + B^2

H^2 = 39^2 + 52^2

H^2 = 1521 + 2704

H = √4225

H = 65 cm.

Hence, the hypotenuse is 65 cm.