Examples

Chapter 6 Class 7 Triangle and its Properties
Serial order wise

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### Transcript

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π‘πππ’π π)γ^2 = γ(π΅ππ π)γ^2 + γ(ππππππππππ’πππ)γ^2 γ(π»π¦πππ‘πππ’π π)γ^2 = γ(5)γ^2 = 25 γ(π΅ππ π)γ^2 " + " γ(ππππππππππ’πππ)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.

#### Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.