Question

a right angled triangle having perimeter 120cm has its two perpendicular sides in the ratio 5 : 12. Find the lengths of its sides

Answer 1

let, two perpendicular sides are 5x and 12x
then,
hypotenuse = √{(5x)^2 + (12x)^2}
=√(25x^2 + 144x^2)
=√(169x^2)
=13x

now,
13x + 12x + 5x = 120
=> 30x = 120
=> x = 120/30 = 4

hence, lengths of its sides are:-
5x =5×4 =20 cm
12x =12×4 =48 cm
13x =13×4 =52 cm
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I hope this will help you..

Answer 2

Answer:

the lengths are 20,48 and 52 cm

Explanation:

hope this helps!!