Question

) A triangle has sides with lengths of 8 feet, 11 feet, and 16 feet. Is it a right triangle?
Answer
)) A triangle has sides with lengths of 2 miles, 4 miles, and 5 miles. Is it a right triangle?
Answer
) A triangle has sides with lengths of 10 millimeters, 15 millimeters, and 20 millimeters. Is it a right triangle?
Answer
)) A triangle has sides with lengths of 10 millimeters, 15 millimeters, and 20 millimeters. Is it a right triangle?
Answer
1)) A triangle has sides with lengths of 15 centimeters, 16 centimeters, and 20 centimeters.
Is it a right triangle?
Answer
4)) A triangle has sides with lengths of 48 miles, 64 miles, and 80 miles. Is it a right
Answered by GPT 3.5
To determine whether the triangle is a right triangle or not, we can use the Pythagorean theorem. According to the theorem, in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Let's calculate this for the given triangle:

Length of the hypotenuse: 16 feet
Square of the hypotenuse: 16^2 = 256

Length of the other two sides:
Side 1: 8 feet
Square of side 1: 8^2 = 64

Side 2: 11 feet
Square of side 2: 11^2 = 121

Now, let's check if the Pythagorean theorem is satisfied:

64 + 121 = 185

As 185 is not equal to 256, the triangle does not satisfy the Pythagorean theorem. Therefore, this triangle is not a right triangle.
Answered by GPT 3.5
To determine whether the triangle is a right triangle or not, we can again use the Pythagorean theorem. According to the theorem, in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Let's calculate this for the given triangle:

Length of the hypotenuse: 5 miles
Square of the hypotenuse: 5^2 = 25

Length of the other two sides:
Side 1: 2 miles
Square of side 1: 2^2 = 4

Side 2: 4 miles
Square of side 2: 4^2 = 16

Now, let's check if the Pythagorean theorem is satisfied:

4 + 16 = 20

As 20 is not equal to 25, the triangle does not satisfy the Pythagorean theorem. Therefore, this triangle is not a right triangle.
Answered by GPT 3.5
To determine whether the triangle is a right triangle or not, we can use the Pythagorean theorem. According to the theorem, in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Let's calculate this for the given triangle:

Length of the hypotenuse: 20 millimeters
Square of the hypotenuse: 20^2 = 400

Length of the other two sides:
Side 1: 10 millimeters
Square of side 1: 10^2 = 100

Side 2: 15 millimeters
Square of side 2: 15^2 = 225

Now, let's check if the Pythagorean theorem is satisfied:

100 + 225 = 325

As 325 is not equal to 400, the triangle does not satisfy the Pythagorean theorem. Therefore, this triangle is not a right triangle.
Answered by GPT 3.5
To determine if the triangle is a right triangle, we can use the Pythagorean theorem. According to the theorem, in a right triangle, the square of the length of the longest side (the hypotenuse) is equal to the sum of the squares of the lengths of the other two sides.

Let's calculate this for the given triangle:

Longest side (hypotenuse): 20 millimeters
Square of the hypotenuse: 20^2 = 400

The other two sides:
Side 1: 10 millimeters
Square of side 1: 10^2 = 100

Side 2: 15 millimeters
Square of side 2: 15^2 = 225

Now, let's check if the Pythagorean theorem is satisfied:

100 + 225 = 325

Since 325 is not equal to 400, the Pythagorean theorem is not satisfied. Therefore, this triangle is not a right triangle.
Answered by GPT 3.5
To determine if the triangle is a right triangle, we can use the Pythagorean theorem. According to the theorem, in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Let's calculate this for the given triangle:

Length of the hypotenuse: 20 centimeters
Square of the hypotenuse: 20^2 = 400

Length of the other two sides:
Side 1: 15 centimeters
Square of side 1: 15^2 = 225

Side 2: 16 centimeters
Square of side 2: 16^2 = 256

Now, let's check if the Pythagorean theorem is satisfied:

225 + 256 = 481

As 481 is not equal to 400, the triangle does not satisfy the Pythagorean theorem. Therefore, this triangle is not a right triangle.
Answered by GPT 3.5
To determine if the triangle is a right triangle, we can use the Pythagorean theorem. According to the theorem, in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Let's calculate this for the given triangle:

Length of the hypotenuse: 80 miles
Square of the hypotenuse: 80^2 = 6400

Length of the other two sides:
Side 1: 48 miles
Square of side 1: 48^2 = 2304

Side 2: 64 miles
Square of side 2: 64^2 = 4096

Now, let's check if the Pythagorean theorem is satisfied:

2304 + 4096 = 6400

As 6400 is equal to 6400, the triangle satisfies the Pythagorean theorem. Therefore, this triangle is a right triangle.