###### Asked in Math and ArithmeticGeometry

Math and Arithmetic

Geometry

# How do you find the area of a right angle knowing only the hypotenuse?

## Answer

###### Wiki User

###### June 09, 2008 10:25AM

One other angle or the length of one other side must also be known.

## Related Questions

###### Asked in Math and Arithmetic, Algebra, Geometry

### Area of a right angle whose sides are 'a' and 'b' is equals?

I assume the question refers to a right angled triangle, since a
rigt angle, by itself, cannot have an area.
There are three possible answers - depending upon which of the
sides are "a" and "b".
Case 1: The right angle is between the sides "a" and "b". The
area is 0.5*a*b
Case 2: The side "a" is opposite the right angle (the
hypotenuse). Then the third side, c is sqrt(a2-b2). The area is
0.5*b*c
Case 3: The side "b" is opposite the right angle (the
hypotenuse). Then the third side, c is sqrt(b2-a2). The area is
0.5*a*c

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