Which of the following numbers can form sides of a right angled triangle? , Which of the following numbers can form sides of a right angled triangle?

Solution

D. 10 cm , 6 cm , 8 cm

Explanation

The basic condition for any type of triangle is:

(i) The sum of 2 sides of a triangle should be greater than the third side

(ii) The difference of any 2 sides should be less than the third side.

For a triangle to be a right angled triangle, there is an additional condition.

Pythagoras theorem: In a right angled triangle,

Hypotenuse2= Sum of squares of other 2 sides

That is, c2=a2+b2; Also note that the hypotenuse is the largest side in a right triangle.