△ABC is a right triangle with right angle at ∠B .

AB=34 cm

AC=55 cm

What is the measure of ∠C , to the nearest degree?

Acceptfully
Apr 20, 2017

#2**0 **

AB= 34, so c = 34

AC= 55, so a = 55

angle B = 90 degrees

a^2 + b^2 = c^2

55^2 + b^2 = 34 ^2

3025 + b^2 = 1156

-3025 -3025

b^2 = -1869

square root booth sides, and round to nearest tenth.

b = + or - 43.2

since this is length it has to be positive

b = 43.2

now

sin C/ c = sin B/b

sin C/34 = sin 90/43.2

43.2 sin C = 34 sin 90

sin C = (34 sin 90)/ 43.2

(sin C) sin^-1= (34 sin 90/ 43.2) sin^-1

C = your answer

Snappingtunic99
Apr 20, 2017