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Sagot :
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.
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
Step-by-step 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.
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