Definition of Pythagorean Triple
More about Pythagorean Triple
Example of Pythagorean Triple
Solved Example on Pythagorean Triple
Which of the following is a Pythagorean triple?
A. 6 m, 8 m, 10 m
B. 5 m, 7 m, 9 m
C. 6 m, 7 m, 8 m
D. 5 m, 6 m, 7 m
Correct Answer: A
Step 1: Pythagorean triples are a set of three integers a, b, c, which form the measures of the sides of a right-angled triangle.
Step 2: If the given measures satisfy the condition, c2 = a2 + b2, then the measures make a right triangle.
Step 3: Here, the measures 6 m, 8 m, and 10 m satisfy the condition. (102 = 62 + 82 ⇒ 100 = 36 + 64 = 100)
Step 4: Thus, the measures 6 m, 8 m, and 10 m make a right triangle and thus it is a Pythagorean triple.
Related Terms for Pythagorean Triple