4. In the diagram shown, a metal support brace is added to stabilize a metal triangle. The brace is parallel to the 18-foot base of the triangle and divides the
left side into a 4-foot and a 6-foot section. What is the length of the metal
support brace?
4 ft
6 ft
18 ft
A 7.2 ft
B 12 ft
C 27 ft
D 8.5 ft

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.

50x5=$250

step-by-step explanation:

the answer is d

step-by-step explanation: