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Which set of numbers form a right triangle?

A. 20,21,29
B. 19,20,29
C. 20,21,28

User Ssmir
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1 Answer

6 votes

Answer:

A. 20,21,29

Explanation:

You want to know which of the given sets of numbers is a Pythagorean triple (form a right triangle).

Pythagorean theorem

A set of numbers will form a right triangle if they are a Pythagorean triple.

A set of three integers is a Pythagorean triple if the sum of the squares of the smaller two add up to the square of the largest. The total of numbers in a Pythagorean triple is always even (eliminates choice C).

We can check the values given:

20² +21² = 29²

400 +441 = 841 . . . . . true

This means the triple 19, 20, 29 cannot be a Pythagorean triple.

The set of numbers 20, 21, 29 will form a right triangle.

User Reza Ahmadi
by
7.0k points