Posted by **danielle** on Thursday, January 6, 2011 at 12:53pm.

An isosceles right triangle has a hypotenuse of 8 units. What is the length, in units, of one the legs? Round your answer to the nearest hundredth if necessary.

- geometry -
**helper**, Thursday, January 6, 2011 at 1:11pm
An isosceles triangle is a triangle having at least two congruent sides.

In a right triangle, the square of the length of the hypotenuse equals the sum of the squares of the lengths of the legs.

Thus, c^2 = a^2 + b^2

Therefore, since a = b, or x = x, in your problem

8^2 = x^2 + x^2

Solve this equation for x for your answer

## Answer this Question

## Related Questions

- math - I have 14 questions and I was wondering if someone could check my answers...
- Math - 1) The hypotenuse of an isosceles right triangle is 8 cm longer than ...
- Geometry help please! - What is the length of a diagonal of a square with sides ...
- Math - The hypotenuse of a right triangle is 23 cm long. Find possible measures ...
- math - The legs of a right triangle are 3 and 4 units long. Find the lengths, to...
- Math (Geometry) - The perimeter of right triangle ABC is equal to the perimeter ...
- Algebra - What is the length of the hypotenuse of a right triangle with legs of ...
- geometry - What is the perimeter of the isosceles triangle shown below? If ...
- geometry - The perimeter of right triangle RST is equal to the perimeter of ...
- Geometry - In right triangle ABC, the median to the hypotenuse has length 15 ...

More Related Questions