Question

In a right triangle with legs 5 cm and 12 cm long, find the measure of the smallest angle

Answer 1

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 2

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

$m$