Question

How do you find y?


y=[?]

Answer 1

y = 12

Explanation:

Congruent Triangles:

ABC and CBD are congruent triangles because:

* They have one right angle.

* They share one side

* They have one congruent angle (BD is the bisector of triangle ABC)

This implies that sides AD and DC have the same length, thus:

3y + 6 = 5y - 18

Subtracting 6:

3y = 5y - 18 - 6

Subtracting 5y:

3y - 5y = - 18 - 6

Simplifying:

-2y = -24

Dividing by -2:

y = -24 / (-2)

y = 12