First we need to find the distance from G to A, or the length of segment GA
For now we'll call this x since it's unknown. This value x adds to the other three sides of the figure to get the perimeter to be 172 inches (given)
So,
EG + GA + AM + ME = perimeter
56 + x + 56 + 35 = 172
x+147 = 172
x+147-147 = 172-147 .... subtract 147 from both sides
x = 25
So segment GA is 25 inches
We'll use this to find the length of segment G'A' which corresponds to GA
The other horizontal sides EM and E'M' also correspond, so we'll pair these sides up and form the proportion below
(GA)/(G'A') = (EM)/(E'M')
which turns into this
25/y = 35/14
when we use y in place of G'A'. Like x, y is unknown at first until we solve for it. Let's isolate y
25/y = 35/14
25*14 = y*35 .... cross multiply
350 = 35y
35y = 350
35y/35 = 350/35 .... divide both sides by 35
y = 10
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<h3>Final Answer: The length of G'A' is 10 inches</h3>
I assume you mean, that an angle and two sides are known.
A formula that can be used for irregular triangles is the cosine rule.

'b' and 'c' must be sides that are beside the angle 'A' (angle opposite 'a').
The steps taken to find the √5 using the ancient method is;
5/G1 = 2.5
5/G2 = 2.222
5/G3 = 2.236
We want to find √5 with the ancient Babylonian method for calculating non-perfect squares;
We are told that G1 = 2
Thus;
5/G1 = 2.5
We are told to average 2.25 and G2 to get 2.236
This means that;
(2.25 + G2)/2 = 2.236
2.25 + G2 = 2 × 2.236
G2 = 4.472 - 2.25
G2 = 2.222
Second step is;
5/G2 = 2.222
Finally;
5/G3 = 2.236
Read more about finding non-perfect squares at; brainly.com/question/9165533
I maybe be wrong I think it is called a Divisor?