## ellyk Group Title "The hypotenuse of right triangle is 2 units longer than its height. Determine a formula for the height as a function of the base b. 3 years ago 3 years ago

1. mathteacher1729

Have you tried drawing a picture of the triangle and its lengths?

2. ellyk

So far I have h^2 + b^2 = (h+2)^2

3. abtrehearn

$h = \sqrt{c^{2} - b^{2}},$, where c = h + 2 is the hypotenuse. Then $h = \sqrt{(h + 2)^{2} - b^{2}}$ $h^{2} = h^{2}+ 4h + 4 - b^{2}$$4h = b^{2} - 4$ $h = (b^{2} - 4)/4.$

4. ellyk

Oh! I see. I was solving for the wrong variable. Thanks!

5. abtrehearn

:^)