Example 6 - ABC is right-angled at C. If AC = 5 cm, BC = 12 cm

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

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Example 6 βˆ† ABC is right-angled at C. If AC = 5 cm and BC = 12 cm find the length of AB. Here, In right angled βˆ†ABC, right angled at C, AB = ?, AC = 5 cm, BC = 12 cm By Pythagoras theorem, 〖𝐴𝐡〗^2 = 〖𝐴𝐢〗^2 + 〖𝐡𝐢〗^2 〖𝐴𝐡〗^2 = γ€–(5)γ€—^2 + γ€–(12)γ€—^2 〖𝐴𝐡〗^2 = 25 + 144 〖𝐴𝐡〗^2= 169 〖𝐴𝐡〗^2 = γ€–(13)γ€—^2 Cancelling squares 𝐴𝐡 = 13 cm Therefore, 𝑨𝑩 = 13 cm

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo