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Do the following lengths form a right triangle?

Do the following lengths form a right triangle?-example-1

1 Answer

4 votes

Answer:

21) Yes; 23) Yes

Explanation:

If the lengths form a right triangle, the sum of the squares of the two shorter sides should equal the square of the longest side (Pythagoras).

21)

5² + 12² = 13²

25 + 144 = 169

169 = 169

The lengths form a right triangle.

23)

3² + 4² = 5²

9 + 16 = 25

25 = 25

The lengths form a right triangle.

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