Which of the following is not the sides of a right triangle ? (A) 3,

1.	Which of the following is not the sides of a right triangle ? (A) 3, 4, 5 (B) 5, 12, 13 (C) 7, 24, 25 (D) 4, 5, 6
Answer» Correct option is (D) 4, 5, 6 Sides of right triangle will follow Pythagoras theorem which is \((\text{Hypotenuse})^2=(\text{Base})^2+(\text{Altitude})^2\) (A) \(\because\) \(3^2+4^2=9+16\) \(=25=5^2\) \(\therefore\) 3, 4 & 5 are sides of a right triangle. (B) \(\because\) \(5^2+12^2=25+144\) \(=169=13^2\) \(\therefore\) 5, 12 & 13 are sides of a right triangle. (C) \(\because\) \(7^2+24^2=49+576\) \(=625=25^2\) \(\therefore\) 7, 24 & 25 are sides of a right triangle. (D) \(\because\) \(4^2+5^2=16+25\) \(=41\neq36\) \(\therefore\) \(4^2+5^2\neq6^2\) \(\therefore\) Sides 4, 5 & 6 do not form a right triangle. Correct option is: (D) 4, 5, 6

Which of the following is not the sides of a right triangle ? (A) 3, 4, 5 (B) 5, 12, 13 (C) 7, 24, 25 (D) 4, 5, 6

Answer»

Correct option is (D) 4, 5, 6

Sides of right triangle will follow Pythagoras theorem which is \((\text{Hypotenuse})^2=(\text{Base})^2+(\text{Altitude})^2\)

(A) \(\because\) \(3^2+4^2=9+16\)

\(=25=5^2\)

\(\therefore\) 3, 4 & 5 are sides of a right triangle.

(B) \(\because\) \(5^2+12^2=25+144\)

\(=169=13^2\)

\(\therefore\) 5, 12 & 13 are sides of a right triangle.

(C) \(\because\) \(7^2+24^2=49+576\)

\(=625=25^2\)

\(\therefore\) 7, 24 & 25 are sides of a right triangle.

(D) \(\because\) \(4^2+5^2=16+25\)

\(=41\neq36\)

\(\therefore\) \(4^2+5^2\neq6^2\)

\(\therefore\) Sides 4, 5 & 6 do not form a right triangle.

Correct option is: (D) 4, 5, 6