in a right triangle with legs 5 cm and 12 cm long, find the measure of the smallest angle
The smallest angle would be opposite the 5 cm side
tan (angle) = 5 / 12
tan (angle) =
0.4166666667
arc tan
(
0.4166666667
) = 22.62 degrees
Answer:
The measure of the smallest angle is \(22.6\°\)
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
In the right triangle ABC
\(tan(A)=\frac{BC}{AB}\)
substitute
\(tan(A)=\frac{12}{5}\)
\(A=tan^{-1}(\frac{12}{5})= 67.4\°\)
Find the measure of angle C
Remember that
\(m ------> by complementary angles
\(m