Question

Which of the following sets of measures cannot be the lengths of the sides of a right triangle?
(a) 5 cm, 4 cm and 03 cm
(b) 8 cm, 6 cm and 11 cm
(c) 1 cm, 2.4 cm and 2.6 cm
(d) 60 cm, 25 cm and 65 cm​

Answer 1

Answer:

(b)

Step-by-step explanation:

because (6)^2+(8)^2is not equal to (11)^2

Answer 2

Answer:

(b) 8 cm, 6 cm and 11 cm

Step-by-step explanation:

Q) Which of the following sets of measures cannot be the lengths of the sides of a right triangle?

(a) 5 cm, 4 cm and 03 cm

(b) 8 cm, 6 cm and 11 cm

(c) 1 cm, 2.4 cm and 2.6 cm

(d) 60 cm, 25 cm and 65 cm

Ans:- (b) 8 cm, 6 cm and 11 cm

Sol:- By Pythagoras theorem:

${a}^{2} + {b}^{2} = {c}^{2}$

If and only if the length of the sides of a triangle can satisfy this equation can be the sides of a right triangle, so by checking all the mentioned sides of a triangle, there's only one side cannot satisfy the Pythagoras theorem, and that is:

(b) 8 cm, 6 cm and 11 cm

${8}^{2} + {6}^{2} = {11}^{2}$

$64 + 36 = 110$

$100 = 110$

since, 100 is not equals to 110 so this side cannot a side of a right triangle.

(b) 8 cm, 6 cm and 11 cm is not a side of right triangle.