Question

The sides of a triangle are 15, 45, and 59. Use the Pythagorean Theorem to determine if the triangle is right, acute, or obtuse.​

Answer 1

To determine if the triangle is right, acute, or obtuse, we can use the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case, the lengths of the sides are 15, 45, and 59. We can use the Pythagorean Theorem to determine if this is a right triangle:

15^2 + 45^2 = 225 + 2025 = 2250

59^2 = 3481

Since 3481 is greater than 2250, we know that the triangle is obtuse.