Which of the following set is not the sides of a right angled triangle
2, 3, 4
3, 4, 5
10, 8, 6
12, 5, 13
Answers
Answered by
6
Step-by-step explanation:
Correct option is C)
In the Right-angled triangle square of the hypotenuse is equal to the sum of the square of the base and perpendicular and hypotenuse is the longest side of the triangle.
∴H
2
=B
2
+P
2
In option A
B=9 cm,H=15 cm,P=12cm
∴H=
9
2
+12
2
⇒H=
81+144
⇒H=
225
⇒H=15cm
Hence this is the side of Right angled triangle.
In option B
B=1 cm,H=
5
cm,P=2cm
∴H=
1
2
+2
2
⇒H=
1+4
⇒H=
5
Hence these are the side of Right angled triangle.
In option C
B=5 cm,H=9cm,P=7cm
∴H=
5
2
+7
2
⇒H=
25+49
⇒H=
74
Here H
=9 then these are not the side of a right angled triangle
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