Question

Determine which of the following are not the sides of a right angled triangle ?
a) 3,4,5 b) 12,13,15 c) 5,6,7 d) 10,8,6 ​

Answer 1

Answer:

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