Question

Need to know how to do it aswell. doing Similar Triangles unit

Answer 1

x = 14

Explanation:

Similar triangles have the property that the measure of its corresponding sides is proportional.

This can be written as:

`\displaystyle (x+1)/(27)=(5)/(x-5)`

Cross-multiplying the fractions:

`(x+1)(x-5)=27(5)`

Operating:

`x^2-4x-5=135`

`x^2-4x-140=0`

Factoring:

(x-14)(x+10)=0

Solving:

x=14, x=-10

Only positive values can be accepted for x, thus:

x = 14