This is a right triangle with legs of 3 and 4......the "5" is the hypotenuse, "h"
I have a 3-4-5 triangle and they want me to find h, how do I find h?
In a right triangle:
\(\begin{array}{|rcll|} \hline h &=& \frac{ab}{c}\\ &=& \frac{3\cdot 4}{5} \\ &=& \frac{12}{5} \\ \mathbf{h} & \mathbf{=} & \mathbf{2.4} \\ \hline \end{array} \)
Ah.......thanks, raindropsfurrever and heureka......I wasn't thinking in terms of "h" being the height
BTW........here's how heureka gets his formula......
Let a and be legs......
Then the area is (1/2) ab
Now.......draw an altitude, h, to the hypotenuse, C
Then the area is (1/2)ch
Equating areas, we have
(1/2)AB = (1/2) ch
ab = ch divide by c
ab/c = h