Question

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?

Answer 1

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

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)