Question

Using the diagram on the right, find the length of GT and TA.

Answer 1

GT = 13 and TA = 3

Triangles GRT and GEA are similar and so the ratios of corresponding sides are equal

$\frac{16}{16-x}$ = $\frac{8}{5}$ ( cross- multiply )

8(16 - x) = 80

128 - 8x = 80

- 8x = - 48 ⇒ x = 3 = TA

16 - x = 16 - 3 = GT

Answer 2

Answer: GT = 13 and TA = 3

Triangles GRT and GEA are similar and so the ratios of corresponding sides are equal

=  ( cross- multiply )

8(16 - x) = 80

128 - 8x = 80

- 8x = - 48 ⇒ x = 3 = TA

16 - x = 16 - 3 = GT

TA = 6 and GT = 10 ( arithmetic !!)

Step-by-step explanation: