Question

23. A right angled triangle having perimeter 120 cm has its two perpendicular sides in the ratio
5:12. Find the lengths of its sides
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Answer 1

Answer:

perpendicular sides are in the ratio of 3:4, the third sides needs to be proportional to 5.

As in a right angled triangle,

Hypotenuse^2 = base^2 + perpendicular^2

Therefore, the sides are in the ratio of

3 : 4 : 5

Sum of the ratios = 3 +4 +5 = 12

Perimeter of triangle = 96 cm

Therefore the sides are = (96*3/12), (96*4/12), (96*5/12) = 24 cm,32, cm