# Geometry

posted by .

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

• Geometry -

..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

## Similar Questions

1. ### geometry

in a right triangle ABC, if ab is 14 and bc is 12 wut is bd?
2. ### Geometry

How do you go about finding the lateral area of a trianglar prism?
3. ### Geometry

Find the perimeter of a right trangle with legs that measure 16 inches and 63 inches
4. ### Geometry

In a right angled triangle length of a side is 5x and another side is 3x-1 and its area is 60 cm2. what will be its perimeter?
5. ### geometry

construct a right angled triangle whose perimeter is 10cm and one acute angle is equal to 60?
6. ### easy geometry

1)If diagonals of a rhombus are 10 cm and 24 cm. find the area and perimeter of the rhombus. 2)A regular hexagon with a perimeter of 24 units is inscribed in a circle. Find the radius of the circle. 3)Find the altitude,perimeter and …
7. ### Urgent geometry help

On a isosceles triangle, how would you find the area and perimeter when given the bases: 12 and 32 and a 45 degree angle?
8. ### Math

The Perimeter of a right angled triangle is 40 CM. Find the area of the right angled triangle.
9. ### Maths

Here is a right- angled triangle. |\ | \ x | \ |___\ x - 2 All measurements are in centimetres. The area if the triangle is 2.5cm^2. Find the perimeter of the triangle. Key values: Equation for area: ?
10. ### geometry

The base of a right angled triangle is 12cm and its hypotenues is13 cm . Find the area of the triangle.

More Similar Questions