Question

Thinking Corner
Can all the three sides of a
right angled triangle be odd
numbers? Why?​

Answer 1

Answer:

No all Sides a triangle can't be odd numbers.

Step-by-step explanation:

If we take two sides of a right angled triangle as odd numbers then their square will be odd Hence, all the 3 sides can not be odd.

We know, (even number)^2 = even,

(odd number)^2 = odd

& sum/difference of 2odd numbers= even

In right angled triangle,

(Hypotenuse)^2 = sum of the square of other two sides

If we take two sides of a right angled triangle as odd numbers then their square will be odd. On adding, we will get the sum of two odd numbers which will be even.

=> (Hypotenuse)^2 is even

Hence, all the 3 sides can not be odd.