Check sibling questions

Let’s take an example

 

Can 3, 4, 5 be the side of a right angled triangle?

 

We know that,

  Hypotenuse is the longest side.

 

So, Hypotenuse = 5

 

Checking Pythagoras Theorem

(Hypotenuse) 2 = (Base) 2 + (Height) 2

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Since LHS = RHS,

Pythagoras Theorem is satisfied

 

Hence,

  3, 4, 5 form sides of a right triangle,

  with Hypotenuse = 5

 

Can 8, 15, 17 be the sides of a right angled triangle?

We know that,

  Hypotenuse is the longest side.

 

So, Hypotenuse = 17

 

Checking Pythagoras Theorem

(Hypotenuse) 2 = (Base) 2 + (Perpendicular) 2

How to check if triangle is right angled? - Part 2

Since L.H.S = R.H.S

Pythagoras theorem is satisfied

 

Hence,

8, 15, 17 form sides of a right triangle with

  Hypotenuse = 17

  Base = 8

  Perpendicular = 15

 

Can 7, 8, 10 be the sides of a right angled triangle?

We know that,

  Hypotenuse is the longest side.

 

So, Hypotenuse = 10

 

Checking Pythagoras Theorem

(Hypotenuse) 2 = (Base) 2 + (Perpendicular) 2

How to check if triangle is right angled? - Part 3

Since L.H.S ≠ R.H.S

 

Hence,

7, 8, 10 do not form sides of a right triangle

 

Can 9, 40, 41 be the sides of a right angled triangle?

We know that,

  Hypotenuse is the longest side.

 

So, Hypotenuse = 41

 

Checking Pythagoras Theorem

(Hypotenuse) 2 = (Base) 2 + (Perpendicular) 2

How to check if triangle is right angled? - Part 4

Since L.H.S = R.H.S

Pythagoras theorem is satisfied

 

Hence,

9, 40, 41 form sides of a right triangle with

  Hypotenuse = 41

  Base = 9

  Perpendicular = 40

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.