!!!Select all of the true statements that James can use as evidence to support the converse of the Pythagorean theorem.!!!!

James wants to informally prove the converse of the Pythagorean theorem by producing some evidence that supports it.

Recall that the converse of the Pythagorean theorem states:

If a triangle has side lengths a, b, and c such that a^2 + b^2 = c^2 , then that triangle is a right triangle.

James is going to construct several triangles with different side lengths and use a protractor to determine if the triangles turn out to be right triangles.

Select all of the true statements that James can use as evidence to support the converse of the Pythagorean theorem.

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AFOKE88 AFOKE88 · Answer 1 · 2022-12-08T12:27:42+01:00

The only triangle dimensions that give a right angle triangle are;

3) 15, 36, 39

4) 15, 20, 25

6) 16, 30, 34

We are told that If a triangle has side lengths a, b, and c such that;

a² + b² = c² , then that triangle is a right triangle.

1) Using Pythagoras theorem, we can say that;

15² + 18² ≠ 21²

Thus, this is not a right angle triangle.

2) Using Pythagoras theorem, we can say that;

16² + 20² ≠ 24²

Thus, this is not a right angle triangle.

3) Using Pythagoras theorem, we can say that;

15² + 36² = 39²

Thus, this is a right angle triangle.

4) Using Pythagoras theorem, we can say that;

15² + 20² = 25²

Thus, this is a right angle triangle.

5) Using Pythagoras theorem, we can say that;

16² + 32² ≠ 48²

Thus, this is not a right angle triangle.

6) Using Pythagoras theorem, we can say that;

16² + 30² = 34²

Thus, this a right angle triangle.

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