Question

The following diagram shows two similar triangles, ALJK - AOMN. What is the missing value of

Answer 1

Step-by-step explanation:

Similar triangles have corresponding sides equal and also angles are congruent.

Therefore a* = 88* , b* = 40*, c* = 52*

`(JL)/(MO) = (JK)/(MN) = (KL)/(ON)`

`(14)/(21) = (18)/(y) = (15)/(x)`

Solving this,

`(14)/(21) = (18)/(y)`

y = (21 * 18) / 14

y = 27

`(14)/(21) = (15)/(x)`

x = (15 * 21) /14

x = 22.5