Question

Question 4 (iii)
Which of the following can be the sides of a right triangle?
1.5 cm, 2 cm, 2.5cm
In the case of right angled triangles, identify the right angles.

Answer 1

1.5 cm, 2 cm, 2.5cm

In $\Delta PQR,(PR{)}^2=(PQ{)}^2+(RQ{)}^2$
L.H.S.=$(2.5{)}^2=6.25cm$
R.H.S. = $(1.5{)}^2+(2{)}^2=2.25+4=6.25cm$
Since ,L.H.S. =R.H.S.
Therefore, the given sides are of the right angled triangle.
Right angle lies on the opposite to the greater side 2.5 cm, i.e., at Q.