Question

Which of the following
are right triangles?
Explain or show your
reasoning

Answer 1

a] Yes, it is a right-angled triangle

b] No, it is not a right-angled triangle

c] Yes, it is a right-angled triangle

Explanation:

a]

Pythagorus theorem:- (h)² = (p)² + (b)²

15² = 9² + 12²

225 = 81 + 144

225 = 225

∴Proved the given figure is a right-angled triangle.

b]

Pythagorus theorem:- (h)² = (p)² + (b)²

48.5² = √45² + 39²

2352.25 = 45 + 1521

2352.25 ≠ 1566

∴ Proved, the given figure is not a right angled triangle.

c]

Pythagorus theorem:- (h)² = (p)² + (b)²

16² = 10² + √156²

256 = 100 + 156

256 = 256

∴Proved, the given figure is a right-angled triangle.

Answer 2

First you must know that the Pythagorean Theorem can only work on right triangles so with that in mind if we plug the values of the triangles into the Pythagorean Theorem. If the equation is true then they are right triangles. If the equation is false then they are not right triangles.