Question

Determine whether a triangle with given side lengths will be a right triangle?

19.5,12,13
20.8,15,17
21.2,4,7
22.7,24,25
23.3,9,10
24.12,13,25

Answer 1

Explanation:

Apply the Pythagorean Theorrem. Find the sum of the squares of the two shortest sides and determine whether this sum equals the square of the longest side:

#19: 5^2 + 12^2 = ? = 13^2

25 + 144 = ? = 169 This is true, so you do have a right triange in #19.

#21: 2^2 + 4^2 = ? = 7^2, or 4 + 16 = ? = 49 This is false. Not a right

triangle.

Apply this same approach (Pythagorean Theorem) to the remaining problems.