Posted by **Aaron** on Monday, November 18, 2013 at 11:30pm.

1) The hypotenuse of an isosceles right triangle is 8 cm longer than either of its legs. Note that an isosceles right triangle is a right triangle whose legs are the same length. Find the exact length of its legs and its hypotenuse.

2) The length of a rectangle is 9 m longer than its width and the area of the rectangle is 280 m2. Find the exact dimensions of the rectangle.

3) The first leg of a right triangle is 3 cm longer than its second leg. If the hypotenuse has a length of 8 cm, find the exact lengths of the two legs

- Math -
**Steve**, Tuesday, November 19, 2013 at 12:09am
if the legs are x and the hypotenuse is h, then

h^2 = x^2+x^2

(x+8)^2 = 2x^2

x^2+16x+64 = 2x^2

x^2 - 16x - 64 = 0

Now just use the quadratic formula

If the width is w, then

w(w+9) = 280

If the shorter leg is x, then

x^2 + (x+3)^2 = 8^2

## Answer this Question

## Related Questions

- Math (Geometry) - The perimeter of right triangle ABC is equal to the perimeter ...
- geometry - The perimeter of right triangle RST is equal to the perimeter of ...
- algebra - Find the length of the hypotenuse of an isosceles right triangle whose...
- Math - If the hypotenuse of a right triangle is 13 and one of its legs is 5, ...
- Math - Can someone please check to see if I answered these true and false ...
- math right triangle - the hypotenuse of a right triangle is 1 inch longer than ...
- Math - If all of the following triangles have the same perimeter, which has the ...
- Math-CHECK PLEASE - Which of the statements is ALWAYS TRUE? A-A right triangle ...
- Math - Decide whether each statement is always true, sometimes true, or never ...
- math - The vertices of a triangle are listed below. H(-2,4), I(22,4), J(10,-1) ...

More Related Questions