Question

Q9) Determine whether the triangle whose lengths of sides are 1.5
cm, 2 cm, 2.5 cm is a right angled triangle.
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Answer 1

Answer:

Step-by-step explanation:

Let us consider, the larger side be the hypotenuse and also using Pythagoras theorem,

(Hypotenuse)2=(Base)2+(Perpendicular)2

1.5cm, 2cm, 2.5cm

In ΔPQR, (PR)2=(PQ)2+(RQ)2

L.H.S.=(25)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 opposite to the greater side 2.5cm