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Last updated at March 30, 2023 by Teachoo
Example 5 Determine whether the triangle whose lengths of sides are 3 cm, 4 cm, 5 cm is a right-angled triangle. We know that, Hypotenuse is the largest side. So, Hypotenuse = 5 cm Checking Pythagoras theorem, γ(π»π¦πππ‘πππ’π π)γ^2 = γ(π΅ππ π)γ^2 + γ(ππππππππππ’πππ)γ^2 γ(π»π¦πππ‘πππ’π π)γ^2 = γ(5)γ^2 = 25 γ(π΅ππ π)γ^2 " + " γ(ππππππππππ’πππ)γ^2 = γ(3)γ^2 + γ(4)γ^2 = 9 + 16 = 25 Since, L.H.S = R.H.S Pythagoras theorem is satisfied Hence, 3cm, 4cm, 5cm form sides of a right angled triangle. Since, L.H.S = R.H.S Pythagoras theorem is satisfied Hence, 3cm, 4cm, 5cm form sides of a right angled triangle. Since, L.H.S = R.H.S Pythagoras theorem is satisfied Hence, 3cm, 4cm, 5cm form sides of a right angled triangle.