Question

Which of the following lengths can be the sides of a right-angled triangle.
a. 2 cm, 7 cm, 10 cm​

Answer 1

Answer:

Step-by-step explanation:

b) hypotenuse^2= side1 ^2+ side2 ^2

hypotenuse=15^2

=225

therefore

15^2=9^2+12^2

225=81+144

225=225

hypotenuse is equal to side1^2+side2^2

therefore b is the answer.

a) hypotenuse=10^2

=100

therefore

hypotenuse=2^2+7^2

4+49

=53

hypotenuse is unequal to side1^2+side2^2

c) hypotenuse=8.5^2

=72.25

therefore

hypotenuse=4^2+7.5^2

=16+56.25

=72.25

hypotenuse=side1^2+side2^2.

d)hypotenuse=8.5^2

=72.25

therefore

hypotenuse=1.6^2+8.4^2

=2.56+70.56

=73.12

hypotenuseis unequal to side1^2+side2^2.

b and c can be the sides of right angled triangle.