Ames 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, c, such that a power 2+b power 2=c power 2, then the triangle is a right triangle.

James is going to construct several triangles with different side lengths. Select the TWO true statements that James can use as evidence to support the converse of the Pythagorean Theorem.

Group of answer choices

A triangle with side lengths measuring 15, 18, and 21 units is a right triangle.

A triangle with side lengths measuring 15, 20, and 25 units is a right triangle.

A triangle with side lengths measuring 16, 20 and 24 units is a right triangle.

A triangle with side lengths measuring 16, 30, and 34 units is a right triangle.

Question

Mathematics

Lorenzo Bowman

12 February, 05:48

Ames 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, c, such that a power 2+b power 2=c power 2, then the triangle is a right triangle.

James is going to construct several triangles with different side lengths. Select the TWO true statements that James can use as evidence to support the converse of the Pythagorean Theorem.

Group of answer choices

A triangle with side lengths measuring 15, 18, and 21 units is a right triangle.

A triangle with side lengths measuring 15, 20, and 25 units is a right triangle.

A triangle with side lengths measuring 16, 20 and 24 units is a right triangle.

A triangle with side lengths measuring 16, 30, and 34 units is a right triangle.

+2

Answers (1)

Know the Answer?

Kareem · Answer 1

The second and fourth one is right

Step-by-step explanation:

A² + B² = C²

15² + 20² = 25²

225 + 400 = 625

625 = 625

16² + 30² = 34²

256 + 900 = 1156

1156 = 1156

They both check out