Use the diagram above to determine which group of side lengths would form a right triangle.

Question

7, 24, 27
20, 21, 29
8, 15, 19
11, 32, 34
12, 35, 37

Answer 1

The group of side lengths that would form a right triangle is 8, 15, 19 because it follows the Pythagorean theorem where a^2 + b^2 = c^2. In this case, 8^2 + 15^2 = 64 + 225 = 289 = 19^2.

Answer 2

Use the diagram above to determine which group of side lengths would form a right triangle.

7, 24, 27
20, 21, 29
11, 32, 34
12, 35, 37

Answer 3

Based on the Pythagorean theorem where a^2 + b^2 = c^2, a right triangle would be formed only by the group of side lengths 12, 35, 37, since 12^2 + 35^2 = 144 + 1225 = 1369 = 37^2.

Answer 4

Use the diagram above to determine which group of side lengths would form a right triangle.

7, 24, 27
20, 21, 29
11, 32, 34

Answer 5

Based on the Pythagorean theorem where a^2 + b^2 = c^2, a right triangle would be formed by the group of side lengths 20, 21, 29, since 20^2 + 21^2 = 400 + 441 = 841 = 29^2.

Answer 6

Use the diagram above to determine which group of side lengths would form a right triangle.

7, 24, 27
11, 32, 34

Answer 7

To determine if a triangle is a right triangle using the side lengths, you can check if the Pythagorean theorem holds true. For a right triangle, the square of the hypotenuse would be equal to the sum of the squares of the other two sides.

Let's check for both groups of side lengths:
1. For the group 7, 24, 27:
7^2 + 24^2 = 49 + 576 = 625
27^2 = 729

Since 625 is not equal to 729, this group does not form a right triangle.

2. For the group 11, 32, 34:
11^2 + 32^2 = 121 + 1024 = 1145
34^2 = 1156

Since 1145 is not equal to 1156, this group does not form a right triangle either.

Therefore, neither of the given groups of side lengths would form a right triangle.