Question

Which of the following can never be the lengths of sides of a triangle? a)3cm,1.5cm,1.2cm b)6cm,5cm,2cm c)4.8cm,2.2cm,6.9cm d)4cm,5cm,7cm

Answer 1

Answer❀✿°᭄

Solution :

For a triangle to be a right angle triangle, the square of the largest side is equal to the sum of squares of other two sides.

(i)6.52=42.25

62=36

2.52=6.25

So, 36+6.25=42.25 which means it is a right angle triangle.

It will form the right angle between sides 6 cm and 2.5 cm.

(ii)52=25

22=4

22=4

4+4≠25, which means it is not a right angle triangle.

(iii)2.52=6.25

22=4

1.52=2.25

4+2.5=6.25 which means it is a right angle triangle.

It will form the right angle between sides 2 cm and 1.5 cm.