Question

Solve the right triangle ABC (round to the nearest tenth):

angle B =
a =
b =

Answer 1

Angle B = 54 degrees, a= 5.88 or round it to 6 and b=8.09 or round it to 8

Explanation:

Angle B:

A right angle triangle always equals 180 degrees, and the right angle (the corner) equals 90 degrees.

B = 180 degrees - 90 degrees - 36 degrees

B = 54 degrees

a:

a = 10 sin 36 degrees

a = 5.88 or rounded to 6

b:

b = 10 cos 36 degrees

b = 8.09 or rounded to 8

Answer 2

Answer: angle B= 54 degrees, a=6, b=8

Explanation:

Add the two angles we have to get 126 degrees. Subtract that from 180 degrees to get 54 degrees.

We don't know enough to say which is which for a and b, but we can know that it is 6 and 8 because of pythagorean triples (3,4,5).