A right triangle has sides 5.0 m,12 m,and 13 m.The smallest angle of this triangle is nearest:
A)21 $\degree$.
B)23 $\degree$.
C)43 $\degree$.
D)Not attainable since this is not a right triangle.

Question

Quizplus · Accepted Answer

In a right triangle, the smallest angle is opposite the smallest side. The smallest side is 5.0 m, so the smallest angle is opposite it. We can use the sine function to find this angle:

sin(theta) = opposite/hypotenuse 
sin(theta) = 5.0/13 
theta = sin^-1(5.0/13) 
theta ≈ 23.1°

The nearest answer choice to this is B, 23.1° rounded to the nearest degree.

A Right Triangle Has Sides 5 °\degree° B)23 °\degree° C)43 °\degree°

A Right Triangle Has Sides 5 $\degree$
B)23 $\degree$
C)43 $\degree$