Which set of line segments could create a right triangle? (4 points)
a
5, 6, 11
b
5, 9, 10
c
5, 13, 18
d
5, 12, 13
Answers
Answered by
1
Answer:
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Step-by-step explanation:
Answered by
2
Answer:
D) 5, 12, 13
Step-by-step explanation:
The sides of a right angle triangle must satisfy the Pythagorean relationship (Base)^2 +(Perpendicular)^2 = (Hypotenuse)^2
The length of these three sides (generally represented as a,b,c where a,b,c are positive integers) are together called a Pythagorean Triplet which satisfy the relationship a^2+b^2=c^2.
In all the options present here, only the last option consists of a Pythagorean Triplet i.e. 5^2 + 12^2 = 13^2.
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