Question

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

Answer 1

Step-by-step explanation:

let, the sides of triangle are 5x,12x,13x (by pythagorus theorm)

given that, the perimeter of triangle=120=5x+12x+13x =>x=4=> the sides of the triangle are 20, 48, 52 cm respectively

Answer 2

Answer:

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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