Example 5 - Chapter 6 Class 7 Triangle and its Properties

Last updated at August 10, 2026 by

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, ใ€–(๐ป๐‘ฆ๐‘๐‘œ๐‘ก๐‘’๐‘›๐‘ข๐‘ ๐‘’)ใ€—^2 = ใ€–(๐ต๐‘Ž๐‘ ๐‘’)ใ€—^2 + ใ€–(๐‘ƒ๐‘’๐‘Ÿ๐‘๐‘’๐‘›๐‘‘๐‘–๐‘๐‘ข๐‘™๐‘Ž๐‘Ÿ)ใ€—^2 ใ€–(๐ป๐‘ฆ๐‘๐‘œ๐‘ก๐‘’๐‘›๐‘ข๐‘ ๐‘’)ใ€—^2 = ใ€–(5)ใ€—^2 = 25 ใ€–(๐ต๐‘Ž๐‘ ๐‘’)ใ€—^2 " + " ใ€–(๐‘ƒ๐‘’๐‘Ÿ๐‘๐‘’๐‘›๐‘‘๐‘–๐‘๐‘ข๐‘™๐‘Ž๐‘Ÿ)ใ€—^2 = ใ€–(3)ใ€—^2 + ใ€–(4)ใ€—^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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