## anonymous one year ago The area of triangle ABC is 31 1/4 square centimeters. What is the measure of side b?

1. anonymous

|dw:1434633793806:dw|

2. Sachintha

|dw:1434633890402:dw| First we need to find h.

3. Sachintha

$Area\ of\ a\ triangle=\frac{1}{2}*base *height$

4. Sachintha

We already know the base and area. So calculate h.

5. anonymous

How do I find the height? @sachintha

6. Sachintha

$31.25 cm^2 = \frac{1}{2}*12.5*h$

7. Sachintha

Can you calculate now?

8. Sachintha

Give it a try?

9. Sachintha

$h=\frac{31.25*2}{12.5}$ $h=5$

10. Sachintha

You can find b using trigonometry. $sin\ 45^0=\frac{h}{b}$

11. Sachintha

$sin\ 45^0=\frac{1}{\sqrt2}$