To determine the type of triangle with side lengths 8, 14, and 20, we can use the Pythagorean theorem. This theorem 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. We can test this by squaring each of the given side lengths:

8^2 = 64,
14^2 = 196,
20^2 = 400.

If this is a right triangle, then 64 + 196 should be equal to 400. Let's check:

64 + 196 = 260.

Since 260 is not equal to 400, this is not a right triangle.

Next, we can check if this is an isosceles triangle (a triangle with two sides of equal length). Since none of the given side lengths are equal, this is not an isosceles triangle.

Finally, we can check if this is an equilateral triangle (a triangle with all sides of equal length). Again, since none of the given side lengths are equal, this is not an equilateral triangle.

Therefore, the triangle with side lengths 8, 14, and 20 is a scalene triangle, which is a triangle with all sides of different lengths.

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To determine the type of triangle with side lengths 8, 14, and 20, we can use the Pythagorean theorem. This theorem 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. We can test this by squaring each of the given side lengths:

8^2 = 64,
14^2 = 196,
20^2 = 400.

If this is a right triangle, then 64 + 196 should be equal to 400. Let's check:

64 + 196 = 260.

Since 260 is not equal to 400, this is not a right triangle.

Next, we can check if this is an isosceles triangle (a triangle with two sides of equal length). Since none of the given side lengths are equal, this is not an isosceles triangle.

Finally, we can check if this is an equilateral triangle (a triangle with all sides of equal length). Again, since none of the given side lengths are equal, this is not an equilateral triangle.

Therefore, the triangle with side lengths 8, 14, and 20 is a scalene triangle, which is a triangle with all sides of different lengths.

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To determine the type of triangle with side lengths 8, 14, and 20, we can use the Pythagorean theorem. This theorem 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. We can test this by squaring each of the given side lengths:

8^2 = 64,
14^2 = 196,
20^2 = 400.

If this is a right triangle, then 64 + 196 should be equal to 400. Let's check:

64 + 196 = 260.

Since 260 is not equal to 400, this is not a right triangle.

Next, we can check if this is an isosceles triangle (a triangle with two sides of equal length). Since none of the given side lengths are equal, this is not an isosceles triangle.

Finally, we can check if this is an equilateral triangle (a triangle with all sides of equal length). Again, since none of the given side lengths are equal, this is not an equilateral triangle.

Therefore, the triangle with side lengths 8, 14, and 20 is a scalene triangle, which is a triangle with all sides of different lengths.

What type of triangle has side lengths 8, 14, and 20?

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