Answer :
Pythagoras is the sum of the square of two sides is equal to the square of the longest side. Then the acute angle of the given triangle is 28.07 degrees.
What is a right-angle triangle?
It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
A triangle has sides with lengths 8, 15, and 17.
By Pythagoras theorem, we have
H² = P² + B²
17² = 8² + 15²
289 = 64 + 225
289 = 289
The dimension of the triangle satisfies the Pythagoras theorem. Hence the triangle is a right-angle triangle.
Then the acute angle will be
[tex]\rm \theta =Sin ^{-1} \dfrac{8}{17}\\\\\theta = 28.07^o[/tex]
Thus, the acute angle of the given triangle is 28.07 degrees.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177