Triangle DEF has sides with lengths of 6, 11, and 13 units. Determine whether this triangle is a right triangle. Show all work necessary to justify your answer. A right triangle has a hypotenuse with a length of 25. The lengths of the legs are whole numbers. What could be possible lengths of the legs?

Question

Mathematics

Vaughn Wilkinson

9 June, 06:47

Triangle DEF has sides with lengths of 6, 11, and 13 units. Determine whether this triangle is a right triangle. Show all work necessary to justify your answer. A right triangle has a hypotenuse with a length of 25. The lengths of the legs are whole numbers. What could be possible lengths of the legs?

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Answers (1)

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Annabelle Schmidt · Answer 1

Triangle DEF is not a right triangle; possible lengths are 20 & 15

Step-by-step explanation:

For right triangle;

the sum of the square of the two adjacent sides must equal the square of the hypotenus.

Therefore, (6^2) + (11^2) ≠ (13^2).

the possible length are 20 & 15 because

(20^2) + (15^2) = (25^2)