Question

The base and the perpendicular of a right-angled triangle are in the ratio 3:4 and its perimeter is 96 cm. Find the three sides.

Answer 1

Step-by-step explanation:

If two perpendicular sides of a right angled triangle are in a ratio of 3:4, and its perimeter is 96cm, how would you find the three sides?

If two perpendicular sides are in the ratio= 3:4

So, Let these are = 3x, 4x

So, hypotenuse = √(3x)2+(4x)2=5x

Now it is given that perimeter = 96 cm 3x+4x+5x = 96

12x = 96

x =96

x= 8

So sides are 3x, 4x, 5x or 24 cm, 32 cm, 40 cm

I hope it's a right answer.