Question

Someone help me fast please What is the perimeter of△EFG?

Answer 1

The perimeter of △EFG is
`62\ units`

Explanation:

we know that

In the figure the smaller triangle and triangle EFG are similar by AA Similarity Theorem

so

Remember that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

Find the length side EG

`(9)/(EF)=(14)/(EG)`

substitute the given values

`(9)/(9+9)=(14)/(EG)`

`(9)/(18)=(14)/(EG)`

`(1)/(2)=(14)/(EG)`

`EG=14(2)=28\ units`

Find the perimeter of △EFG

`P=EF+EG+FG`

substitute

`P=2(9)+28+2(8)`

`P=62\ units`