Question

2) Given that XY || AC, what is YC if BX = 10, BA = 15, and BY = 8?

Answer 1

The parallel lines XY and AC is an illustration of similar triangles

The value of YC is 12 units

How to determine the length of YC

From the question, we have:

Parallel lines XY || AC

This means that:

BA : BX = YC : BY

Substitute known values in the above ratio

15 : 10 = YC : 8

Express the ratio as fractions

$\frac{15}{10} = \frac{YC}{8}$

This gives

$1.5 = \frac{YC}{8}$

Multiply both sides by 8

$YC = 12$

Hence, the value of YC is 12 units

Read more about similar triangles at:

brainly.com/question/14285697