Question

Can 4,9, 15 represent the lengths of the sides of a triangle?

Answer 1

No

Explanation:

By the converse of Pythagoras' identity.

If the longest side squared equals the sum of the squares of the other 2 sides then triangle is right.

longest side = 15

15² = 225

4² + 9² = 16 + 81 = 97 ≠ 225

Thus sides do not represent a right triangle.

Answer 2

No

Explanation:

4,4,5 and 12,7,7 are isosceles triangles because they have two equal sides . 15,15,15 is an equilateral triangle -it has three equal sides