1.

One of the perpendicular side of a right angled triangle has length 4 cm more than twice of the other side. It has surface area 80 cm2 . Find out the lengths of the perpendicular sides.

Answer»

Let one of the perpendicular side = x

Second side = 2x + 4, Area = 80

1/2 × (2x + 4) = 80

2x2 + 4x = 160

x2 + 2x = 80

x2 + 2x + 12 = 80 + 12

(x + 1)2 = 81

x +1 = ± 9

x + 1 = 9

x = 8

x = – 10 cannot be accepted as – ve sign cannot exist for the length of the side

∴ One side = 8cm

Second side = 2 × 8 + 4 = 20 cm



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