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

## Answer This Question

## Related Questions

- Math - The Perimeter of a right angled triangle is 40 CM. Find the area of the ...
- Geometry - Find the perimeter of a right trangle with legs that measure 16 ...
- Geometry - In a right angled triangle length of a side is 5x and another side is...
- Urgent geometry help - On a isosceles triangle, how would you find the area and ...
- geometry - construct a right angled triangle whose perimeter is 10cm and one ...
- geometry - in a right triangle ABC, if ab is 14 and bc is 12 wut is bd? there is...
- easy geometry - 1)If diagonals of a rhombus are 10 cm and 24 cm. find the area ...
- Geometry - How do you go about finding the lateral area of a trianglar prism? Ex...
- maths - find the perimeter of an isosceles right angled triangle having 5000m
- 4th grade math - if a rug's perimeter is 17cm and the area is 13cm, what are the...

More Related Questions