Which type of triangle has sides of lengths a = 8, b = 15, and c = 17?
A) acute
B) right
C) obtuse
D) No triangle with these lengths of sides exists.

Question

Quizplus · Accepted Answer

To determine the type of triangle, we can use the Pythagorean theorem, which states that in a right triangle, the length of the longest side (hypotenuse) is equal to the square root of the sum of the squares of the other two sides.

In this case, we have: 
8^2 + 15^2 = 64 + 225 = 289 
Taking the square root of 289 gives us 17, which is equal to the length of the longest side. Therefore, this is a right triangle.

Which Type of Triangle Has Sides of Lengths a =