Question

Can someone help me with this geometry question I don’t understand I’m confused.

Answer 1

~Given:

The right triangle ABC,

Use the Pythagorean theorem to find the length of the third side

`\begin{gathered} AC=\sqrt[]{20^2+21^2} \\ AC=\sqrt[]{841} \\ AC=29 \end{gathered}`

The triangle DEF IS,

Use Pythagorean theorem.

`\begin{gathered} DF^2=DE^2+EF^2 \\ 58^2=40^2+EF^2 \\ EF^2=1764 \\ EF=42 \end{gathered}`

It is also observed that sides of the triangles DEF are multiple sides of triangle ABC,

`\begin{gathered} DE=40=2* AB \\ EF=42=2* BC \\ DF=58=2* AC \end{gathered}`

Therefore,