Question

I’m confused on how to do this for my geometry class it says “ DGT is isosceles with TD=DG. If the perimeter of DGT is 756 cm and GT =240 cm, then DG =?. What type of reasoning do you use, inductive or deductive, when solving this problem? Giant hint draw a triangle”

Answer 1

Given:

According to isosceles triangle DG=TD

let length of DG is x.

so TD is x .

perimeter a triangle is: DG+GT+TD

GT=240cm

so equation is:

`\begin{gathered} DG+GT+TD=756 \\ x+240+x=756 \\ 2x=756-240 \\ 2x=516 \\ x=258 \end{gathered}`

so the length is DG=258 cm.