Question

△ART∼△EFG find m 19 1/5 7 1/2 3 1/3 1

Answer 1

`m=3(1)/(3)`

Explanation:

Given,

△ART∼△EFG

And also given that EG = GF

We have to find the measure of 'm'.

Solution,

Since △ART∼△EFG

So according to the property of similarity, which states that;

"If two triangles are similar then the ratio of corresponding sides are equal".

`(AR)/(EF)=(TR)/(GF)`

And EG = GF,

So we can say that;

`(AR)/(EF)=(TR)/(EG)`

Now putting the given values, we get;

`(12)/(5)=(8)/(m)`

On using cross multiplication method, we get;

`12m=5*8\\\\m=(5*8)/(12)=(10)/(3)=3(1)/(3)`

Hence the value of 'm' is
`3(1)/(3)`.