Question

Math 2, Triangle and Trigonometry on ALEKS

see picture below

Answer 1

JK = 6

Explanation:

Because of parallel lines, we can say:

ΔJKL is similar to ΔJHI

Corresponding sides are proportional. We can say:

JK is to KL as JH is to HI

From the given info, we can further say:

JK is to 21, as, 14 is to 49

We can write equation and solve for JK:

`(JK)/(21)=(14)/(49)\\(JK)/(21)=(2)/(7)\\7JK=2*21\\7JK=42\\JK=6`

JK = 6