Posted by **Deepak** on Sunday, March 7, 2010 at 12:10am.

Perimeter of a right angled trangle is 40 cm. Hypotenus is 17cm. Find the area.

Urgent help required. Thanks in advance

- Geometry -
**Reiny**, Sunday, March 7, 2010 at 12:40am
..which would leave 40-17 or 23 as the sum of the other two legs

Let one leg be x, then the other is 23-x

x^2 + (23-x)^2 = 17^2

x^2 + 529 - 46x + x^2 = 289

2x^2 - 46x + 240 = 0

x^2 - 23x + 120 = 0

(x-15)(x-8) = 0

x = 15 or x = 8

if one leg is 15, the other is 23-15 = 8 and vice versa.

Area = (1/2)base x height

= (1/2)(15)(8) = 60

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