Question

Find the missing measurements of the right triangle.

Answer 1

Step-by-step explanation:

as always, the sum of all angles in a triangle is always 180°.

therefore, the angle at B is

B = 180 - 27 - 90 = 63°.

for the missing sides we use the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

where the sides are always opposite of the related angles.

so,

AB/sin(90) = 12/sin(27)

since sin(90) = 1, we have

AB = 12/sin(27) = 26.43227118... ≈ 26.4

AC/sin(63) = 12/sin(27)

AC = 12×sin(63)/sin(27) = 23.55132607... ≈ 23.6