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Example 5 - Determine whether the triangle whose lengths of sides

Example 5 - Chapter 6 Class 7 Triangle and its Properties - Part 2

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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‘¦π‘π‘œπ‘‘π‘’π‘›π‘’π‘ π‘’)γ€—^2 = γ€–(π΅π‘Žπ‘ π‘’)γ€—^2 + γ€–(π‘ƒπ‘’π‘Ÿπ‘π‘’π‘›π‘‘π‘–π‘π‘’π‘™π‘Žπ‘Ÿ)γ€—^2 γ€–(π»π‘¦π‘π‘œπ‘‘π‘’π‘›π‘’π‘ π‘’)γ€—^2 = γ€–(5)γ€—^2 = 25 γ€–(π΅π‘Žπ‘ π‘’)γ€—^2 " + " γ€–(π‘ƒπ‘’π‘Ÿπ‘π‘’π‘›π‘‘π‘–π‘π‘’π‘™π‘Žπ‘Ÿ)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.

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