You have learned some new ways in this module to prove that triangles are similar Please describe some of these new postulates and include a diagram on the whiteboard to help explain how they are applied.

TA = 6 units

GT = 10 units

Step-by-step explanation:

Angle G is common to both triangles, so that's a congruent angle.

Since RT is parallel to EA,

Angle R = Angle E

And

Angle T = Angle A

When two triangles have the same distribution of angles, they are similar (by AAA).

Therefore GRT and GEA are similar

GE/GR = GA/GT

8/5 = 16/(16-x)

16-x = 16 × 5/8

16 - x = 10

x = 16 - 10

x = 6

GT = 16 - x = 16 - 6 = 10

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer