Math 2, Triangle and Trigonometry on ALEKS

see picture below

JK = 6

Step-by-step 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 = 6

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.