Question

Use the Pythagorean Theorem to determine whether the triangle is a right triangle.

17
CO
15
O Yes, this is a right triangle
O No, this is not a right triangle

Answer 1

To determine if a triangle is a right triangle, we can use the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. By substituting the given lengths of 17 and 15 into the theorem and checking if the square of the hypotenuse is equal to the sum of the squares of the other two sides, we can determine that this triangle is not a right triangle.

Step-by-step explanation:

To determine whether the triangle is a right triangle, 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 two sides are given as 17 and 15.

We can substitute these values into the theorem: 172 + 152 = 289 + 225 = 514.

Now, we can check if the square of the length of the hypotenuse is equal to 514.

Since 172 + 152 is not equal to 514, the triangle is not a right triangle.