Question

The area of triangle ABC is 31 1/4 square centimeters. What is the measure of side b?

Answer 1

First we need to find h.

Answer 2

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

Answer 3

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

Answer 4

How do I find the height? @sachintha

Answer 5

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

Answer 6

Can you calculate now?

Answer 7

Give it a try?

Answer 8

\[h=\frac{31.25*2}{12.5}\]
\[h=5\]

Answer 9

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

Answer 10

\[sin\ 45^0=\frac{1}{\sqrt2}\]