Question

a right Angeles triangle having perimeter 120 cm has its two perpendicular sides in the ratio 5:12 find lenghth of its sides
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Answer 1

Answer:

20cm, 48cm and 52cm.

Step-by-step explanation:

Let the ratio be 5x : 12x.

According to Pythagoras Theorem,

(Hypotenuse)² = (Base)² + (Height)²

=> (Hypotenuse)² = (5x)² + (12x)²

=> (Hypotenuse)² = 25x² + 144x²

=> (Hypotenuse)² = 169x²

=> Hypotenuse = 13x

According to Question,

5x + 12x + 13x = 120

=> 30x = 120

=> x = 120/30

=> x = 4

Hence, the sides are 20cm, 48cm and 52cm.