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

$\frac{AD}{DC}=\frac{DC}{DB}$$\frac{9}{DC}=\frac{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

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