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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.

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 whit class=

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amna04352

Answer:

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

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