Question

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

Answer 1

Answer:

In this question we apply pgt and find value of x (in ratio 3x:4x ) then we knows the value of x that is 4 ,hence sides are 3×4 =12 and other is 4×4= 16 so,other two sides are 12 and 16

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.