Question

In a right triangle, length of one of the two sides forming the right angle is 25 cm. The remaining two sides are in the ratio 12: 13. Find the perimeter of the triangle.​

Answer 1

Answer:

150 cm

Step-by-step explanation:

Other two sides will be 12x, 13x, one of them is the hypotenuse. As hyptenus is the biggest side so 13x be the hypotenuse.

Applying Pythagorus, (12x)^2 + 25^2 = (13x)^2

or, 625 = (13x)^2 - (12x)^2

or, 25x^2 = 625

or, x^2 = 25

or, x = 5

So, one side is = 12*5 = 60 cm and another side is = 13*5 = 65 cm

So, perimeter of the triangle = (25+65+60) cm = 150 cm