4 Consider the triangle below. Part A: If AAMG is an isosceles triangle with base AG, what is the value of x?
Justify your answer.

Part B: What is the length of each leg?

Part C: What is the length of the base?

Given :

▪︎Triangle AMG is an isosceles triangle.

▪︎Measure of segment AM = (x+1.4) inches

▪︎Measure of segment MG = (2x+0.1) inches

▪︎Measure of segment AG = (3x-0.4) inches

▪︎segment AG is the base of triangle AMG.

Since AG is the base of the isosceles triangle AMG, segment AM and segment MG will be equal.

Which means :

Thus, the value of x = 1.3

Therefore :

▪︎The value of x = 1.3

We know that :

▪︎The value of x = 1.3

Which means :

The length of the leg AM :

Thus, the length of the leg AM = 2.7 inches

The length of leg MG :

Thus, the length of the leg MG = 2.7 inches

Since the measure of the two legs are equal (2.7=2.7), we can conclude that we have found out the correct length of each leg.

Therefore :

▪︎Measure of leg AM = 2.7 inches

▪︎Measure of leg MG = 2.7 inches

We know that :

Value of x = 1.3

Then, measure of the base AG :

Thus, the measure of the base = 3.5 inches

Therefore :

▪︎ the length of base AG = 3.5 inches.

answer: 12

step-by-step explanation:

because yes