Answer:
right triangle
Explanation:
Side lengths: 24, 32, 40
Method 1:
Divide all side lengths by 8.
We get: 3, 4, 5
3, 4, 5 is a well-know Pythagorean triplet, meaning that if a triangle has side lengths of 3, 4, 5, or any set of three numbers that is obtained by multiplying the three lengths 3, 4, 5 by the same number, it is also a Pythagorean triplet.
Answer: right triangle
Method 2:
Use the Pythagorean theorem equation on the given numbers.
a² + b² = c²
You must choose the two smaller numbers for a and b, and the largest number for c.
24² + 32² = 40²
576 + 1024 = 1600
1600 = 1600
Since the side lengths work in the Pythagorean equation, the triangle is a right triangle.
Answer: right triangle