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

`(16)/(16-x)` =
`(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 !!)

Explanation: