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
9 answers
The group of side lengths that would form a right triangle is 8, 15, 19. This is because these side lengths satisfy 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, 8^2 + 15^2 = 64 + 225 = 289, which is equal to 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
The group of side lengths that would form a right triangle is 12, 35, 37. This is because these side lengths satisfy 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, 12^2 + 35^2 = 144 + 1225 = 1369, which is equal to 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
The group of side lengths that would form a right triangle is 20, 21, 29. This is because these side lengths satisfy 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, 20^2 + 21^2 = 400 + 441 = 841, which is equal to 29^2.
7, 24, 27
11, 32, 34
11, 32, 34
The group of side lengths that would form a right triangle is 11, 32, 34. This is because these side lengths satisfy 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, 11^2 + 32^2 = 121 + 1024 = 1145, which is not equal to 34^2. Therefore, the group of side lengths 11, 32, 34 would not form a right triangle.
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
The group of side lengths that would form a right triangle is 12, 35, 37. This set of side lengths satisfy the Pythagorean theorem, where the square of the longest side (37^2) is equal to sum of the squares of the other two sides (12^2 + 35^2).
This can be expressed as:
12^2 + 35^2 = 144 + 1225 = 1369
37^2 = 1369
Therefore, the group of side lengths 12, 35, 37 would form a right triangle.
This can be expressed as:
12^2 + 35^2 = 144 + 1225 = 1369
37^2 = 1369
Therefore, the group of side lengths 12, 35, 37 would form a right triangle.
7 answers