Question

In a right angled triangle if hypotenuse is 20cm and the other two sides are in ratio 4:3 find the sides

Answer 1

Answer:

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Answer 2

Given hypotenuse, h = 20 cm

Ratio of other two sides, a:b = 4:3

Let altitude of the triangle be 4x and base be 3x.

According to Pythagoras theorem,

h2 = b2+a2

202 = (3x)2+(4x)2

400 = 9x2+16x2

25x2 = 400

x2 = 400/25

x2 = 16

Taking square root on both sides

x = 4

so base, b = 3x = 3×4 = 12

altitude, a = 4x = 4×4 = 16

Hence the other sides are 12 cm and 16 cm.