Converse to the Pythagorean Theorem Answers

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Workers at the Pythagorean Construction Company are building a new house. They need to make sure that proper right triangles are formed to ensure that a safe house is built. What statement should the builders use to ensure that right triangles are formed?

A
If the sum of the two shorter sides equals the longest side, then the triangle is a right triangle.
B
If the sum of the squares of the two longer sides equals the square of the shortest side, then the triangle is a right triangle.
C
If the sum of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle.
D
If the difference of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle.
4

Does the window frame form right triangles?✔ Yes, the sum of the squares of the two shorter sides equals the square of the longest side.Yes, the sum of the squares of the two longer sides equals the square of the shortest side.No, the sum of the squares of the two shorter sides equals the square of the longest side.No, the sum of the squares of the two longer sides equals the square of the shortest side.

A
✔ Yes, the sum of the squares of the two shorter sides equals the square of the longest side.
B
Yes, the sum of the squares of the two longer sides equals the square of the shortest side.
C
No, the sum of the squares of the two shorter sides equals the square of the longest side.
D
No, the sum of the squares of the two longer sides equals the square of the shortest side.
6

What is the longest side?square root of 1702632✔ square root of 170058

Answers:
Selection 1:square root of 1700
Selection 2:1700
Selection 3:1700
Selection 4:Yes, the sum of the squares of the two shorter sides equals the square of the longest side.
7

Question text not available

Answers:
Selection 1:square root of 1700
Selection 2:1700
Selection 3:1700
Selection 4:Yes, the sum of the squares of the two shorter sides equals the square of the longest side.
9

Did Bryn come to the correct conclusion? If not explain her error.

A
No. In step 1 she did not apply the Pythagorean theorem correctly.
B
No. In step 2 she did not square each term correctly
C
No. She should have used the outcome from step 3 to conclude that the triangle is a right triangle.
D
Yes, Bryn came to the correct conclusion.

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