Question

which of the lengths can be sides of right angled triangle


a. 2cm, 7cm, 10cm
b. 9cm, 12cm, 15cm
c. 4cm, 7.5cm, 8.5cm
d. 1.6cm, 8.4cm, 8.5cm

Answer 1

option B is correct because a right triangle need the pytagoras theorem in triangle abc
ac^2= ab^2 + bc^2

Answer 2

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.