Question 973646
A triangle has side lengths of 7, 24, and 25. What is the measure of the smallest angle of the triangle? (Hint: Use the inverse trig button on your calculator)
Solution:
Let x = smallest angle
The triangle is a right triangle because {{{7^2 + 24^2 = 25^2}}} [Pythagorean Theorem]
The angle opposite the smallest side is the smallest angle.
sine = (opposite side)/hypotenuse
Hence, {{{sin(x) = 7/25}}}
Using the inverse trig button, the sine inverse of {{{7/25)}}}
Answer: {{{highlight(16.26)}}} degrees [rounded to 2 decimal places]