Question

in a right-angled triangle, if hypotenuse is 20 cm and the ratio between two sides is 4:3, find the sides. solve by pythagores theoram

Answer 1

Hypptenuse is 20 cm
The other two sides are 4:3
Let x be any common multiple.
According to Pythagoras theorem
(3x) ^2 ( (4x) ^2 = 20^2
9x^2 + 16x^2 = 400
25x^2 = 400
x=4
The sides are in a ratio of 4:3
Thus; sides are 16 and 12

Answer 2

Since the side is on the ratio 4:3
Let one side of the right angled triangle be 4x
And the other side be 3x

BY PYTHAGORAS THEOREM
(4x)^2 + (3x)^2 = (20)^2
16x^2 + 9x^2 = 400
25x^2 = 400
x^2 = 400/25
x^2=16
Therefore x = 4
Ratio of one side = 4x = 4(4) = 16
Ratio of other side = 3x = 3(4) = 12
Hence proved