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Please help!!!

Given the length of three sides of a triangle, which is a right triangle?
(1) 10,26,24
(2) 20,12,18
(3) 30,15,26
(4) 40,50,80

And also explain why it is the answer.

User Mindtonic
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1 Answer

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Pythagorean Theorem:
a^2 + b^2 = c^2
c represents the longest side of the triangle
If the triangle is a right triangle, the Pythagorean theorem will be true.

(1) 10,24,26

10^2 + 24^2 = 676

26^2 = 676

10^2 + 24^2 = 26^2
Right Triangle

(2) 12,18,20

12^2 + 18^2 = 468

20^2 = 400

12^2 + 18^2 \\eq 20^2
Not a right triangle

(3) 15,26,30

15^2 + 26^2 = 901

30^2 = 900

15^2 + 26^2 \\eq 30^2
Not a right triangle

(4) 40,50,80

40^2 + 50^2 = 4100

80^2 = 6400

40^2+50^2 \\eq 80^2
Not a right triangle

#1 is a right triangle
User Giwa
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