Example 6 - Chapter 6 Class 7 Triangle and its Properties

Last updated at April 16, 2024 by

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

Transcript

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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