Question

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.

Answer 1

TA = 6 units

GT = 10 units

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