Answer:
148
Explanation:
The triangle are similar because the angle measurements are the same.
180-51-34 = 95
180-95-51 = 34
If we match up the corresponding sides we see that the side with 45 corresponds to the side with 36. Now we need to find the scale factor.
Let s = the scale factor
45s = 36 Divide both sides by 45
s = .8
This means that the corresponding length of the triangle on the right is .8 of the triangle on the left.
The corresponding side to x is 79, so 79 x .8 = 63.2. Now that we know the three sides we can add them together to find the perimeter.
63.2 + 36 + 48.8 = 148