Answered

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.

Verified Answer :

iloveonedirection

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

Related Questions