Use the diagram above to determine which group of side lengths would form a right triangle.
7, 24, 27
20, 21, 29
8, 15, 19
11, 32, 34
12, 35, 37
7 answers
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.
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
7, 24, 27
20, 21, 29
11, 32, 34
12, 35, 37
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.
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
7, 24, 27
20, 21, 29
11, 32, 34
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.
Use the diagram above to determine which group of side lengths would form a right triangle.
7, 24, 27
11, 32, 34
7, 24, 27
11, 32, 34
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.
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.