### Home > PC > Chapter 2 > Lesson 2.1.2 > Problem2-29

2-29.

Solve each triangle.

1. Find the legs of an isosceles right triangle with a $10$ cm hypotenuse.

Draw and label a sketch

Since you know the two legs are equal, what famous theorem starting with a '$p$' can be useful in setting up an equation and solving?

2. Find the short leg of a $30°­\text{-}60°\text{-}­90°$ triangle with an $8$ cm hypotenuse.

Draw and label the triangle.
Which side is the short leg?

Set up a trig function with the known information and leg $e$. Solve for $e$.

3. Find the long leg of a $30°­\text{-}60°\text{-}­90°$ triangle with a $3$ cm short leg.

$f_1=3\sqrt{3} \; \text{cm}$