Based on the diagram above, a student determined the hypotenuse of the triangle to be 6√3 determine if the student's answer is correct. if it is not correct, find the correct length.
a. yes, the student's answer is correct.
b. no, the hypotenuse should be 12√3
c. no, the hypotenuse should be 6√2
d. no, the hypotenuse should be 12.

D) No, the hypotenuse should be 12.

Step-by-step explanation:

Hypotenuse is the side opposite to the 90 degrees angle.

'6' is the opposite side to the given angle i.e. it is opposite from angle 30 degrees.

Step 1: Use the sin formula to find the hypotenuse.

Sin (angle) = opposite/hypotenuse

Step 2: Substitute the values in the formula

Sin (30) = 6/hypotenuse

1/2 = 6/hypotenuse

hypotenuse = 6x2

hypotenuse = 12

Therefore, the answer is option D; No, the hypotenuse should be 12.

!!

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.

the correct answer is 1: 2

step-by-step explanation:

hope this your welcome : )