1. a) & b) remember that the hypotenuse is the longest side of a right triangle or the side that isn't next to the right angle, and the rest are legs.
2. a), b), and c) I'm assuming that you know the pythagorean theorem. remember that it is \(a^2+b^2=c^2\), when c is the hypotenuse. Now you can solve them :)
Hints: a) \(?\) isn't next to the right angle, so it's the hypotenuse. Therefore, \(c^2= 8^2+5^2\), and \(c= \sqrt{8^2+5^2}\).
b) and c) both of the \(?\) are next to the right angle, so it's a leg. Thus, \(b= \sqrt{c^2-a^2}\) for both. (it doesn't really matter whether the \(?\) is a or b)
3. a) \(h^2=7^2+3^2\), so \(h= \sqrt{7^2+3^2}\).
b) \(b=\sqrt{8^2-6^2}\)
c)\(h=\sqrt{12^2+10^2}\)
d) it's actually a triangle you should memorize, which is \(5-12-13\), so you know what \(l\) is.
4. a), b), and c) again, it's almost the same as above.
a) \(?=\sqrt{9^2-6^2}\)
b) \(?=\sqrt{10^2+12^2}\)
c) \(?=\sqrt{25^2-22^2}\)
Hope this helps! ![smiley smiley](/img/emoticons/smiley-smile.gif)