Question

What is the area of triangle abc below? If necessary, round your answer to two decimal places..... PLEASE PLEASE HELP ME

Answer 1

For a triangle:
$A=\frac{bh}{2}$
$A=\frac{b \times 7.9}{2}$
$b=AD+DC$
Use Pythagorean theorem twice:
$AD^{2}+9.4^{2}=7.9^{2}$
$AD=5.09$

$DC^{2}+23.2^{2}=7.9^{2}$
$DC=21.81$

Thus:
$b=26.9$

And:
$Area=\frac{26.9 \times 7.9}{2}=106.26$