Question

the sides of a triangle are 8, 10, and 6. use the pythagorean theorem to determine if the triangle is right, acute, or obtuse.
answer
the triangle is
because the square of the largest side
the sum of the squares of the other two sides

Explanation:

Step1: Identify largest side, square it

Largest side = 10, so $10^2 = 100$

Step2: Sum squares of other sides

Other sides: 8 and 6, so $8^2 + 6^2 = 64 + 36 = 100$

Step3: Compare the two values

$10^2 = 8^2 + 6^2$, so it matches the Pythagorean theorem for a right triangle.

Answer:

The triangle is right because the square of the largest side equals the sum of the squares of the other two sides.