Answer:
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.