Posted by Deepak on .
Perimeter of a right angled trangle is 40 cm. Hypotenus is 17cm. Find the area.
Urgent help required. Thanks in advance

Geometry 
Reiny,
..which would leave 4017 or 23 as the sum of the other two legs
Let one leg be x, then the other is 23x
x^2 + (23x)^2 = 17^2
x^2 + 529  46x + x^2 = 289
2x^2  46x + 240 = 0
x^2  23x + 120 = 0
(x15)(x8) = 0
x = 15 or x = 8
if one leg is 15, the other is 2315 = 8 and vice versa.
Area = (1/2)base x height
= (1/2)(15)(8) = 60