Respuesta :
The triangle with side lengths of 10 in., 12 in., and 15 in. is acute because 10^2 + 12^2 > 15^2
What is the acute angle?
An acute angle is defined as the measure of an angle that is less than 90 degrees.
The side lengths of the triangles are 10, 12 and 15
The smallest side lengths are: 10 and 12
The sum of the squares of these side lengths is
[tex]10^2 + 12^2[/tex]
For the triangle to be acute, then the following must be true
[tex]10^2 + 12^2 > 15^2[/tex]
Evaluate the exponents
[tex]244 < 255[/tex]
The above inequality is true.
Hence, the triangle is acute because 10^2 + 12^2 > 15^2
Read more about triangles here;
brainly.com/question/17972372
