Question

I need help with solving propotional segments in right triangles. I need help with number 4.

Answer 1

We have

AD=9 in

DB=4 in

find DC,AC and BC

we can do the next equivalences

`(AD)/(DC)=(DC)/(DB)`
`(9)/(DC)=(DC)/(4)`

then we clear DC

`\begin{gathered} DC=\sqrt[]{36} \\ DC=6 \end{gathered}`

For AC we use the Pythagorean theorem

`AC=\sqrt[]{9^2+6^2}=10.81`

For BC we use the Pythagorean theorem

`BC=\sqrt[]{6^2+4^2}=7.21`