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=(bh)/(2)`

`A=(b * 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=(26.9 * 7.9)/(2)=106.26`