Question

Drag and drop the given set of measurements into the correct box to describe whether the measurements can describe the lengths of the three sides of a right triangle or not.(3 points)
Could be the Sides of a Right Triangle Cannot be the Sides of a Right Triangle
63in, 16, 65 in. 29 in, 20 in, 21 in 4m, 5 m, 6 m

Answer 1

is this correct

Answer 2

Could be the Sides of a Right Triangle:
29 in, 20 in, 21 in

Cannot be the Sides of a Right Triangle:
63in, 16, 65 in.
4m, 5 m, 6 m

Answer 3

Apologies for the incorrect response earlier. Let's go through the correct analysis for the given sets of measurements:

1. 63in, 16, 65in:
To determine if this could be the sides of a right triangle, we need to check if 65^2 is equal to 63^2 + 16^2.
Calculating:
65^2 = 4225
63^2 + 16^2 = 3969 + 256 = 4225

Since the two values are equal, the measurements of 63in, 16, 65in could be the sides of a right triangle.

2. 29in, 20in, 21in:
To determine if this could be the sides of a right triangle, we need to check if 29^2 is equal to 20^2 + 21^2.
Calculating:
29^2 = 841
20^2 + 21^2 = 400 + 441 = 841

Since the two values are equal, the measurements of 29in, 20in, 21in could be the sides of a right triangle.

3. 4m, 5m, 6m:
To determine if this could be the sides of a right triangle, we need to check if 6^2 is equal to 4^2 + 5^2.
Calculating:
6^2 = 36
4^2 + 5^2 = 16 + 25 = 41

Since the two values are not equal, the measurements of 4m, 5m, 6m cannot be the sides of a right triangle.

Therefore, the correct box to place each set of measurements is:

Could be the Sides of a Right Triangle:
- 63in, 16, 65in
- 29in, 20in, 21in

Cannot be the Sides of a Right Triangle:
- 4m, 5m, 6m

Apologies for the confusion caused by the initial response.