Ex 6.5, 2 - ABC is a triangle, right-angled at C. If AB = 25 cm and AC

Ex 6.5, 2 - Chapter 6 Class 7 Triangle and its Properties - Part 2

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Ex 6.5, 2 ABC is a triangle, right-angled at C. If AB = 25 cm and AC = 7 cm, find BC.In βˆ†ABC, right angled at C, AB = 24 cm, AC = 7 cm, BC = ? By Pythagoras theorem, 〖𝐴𝐡〗^2 = 〖𝐴𝐢〗^2 + 〖𝐡𝐢〗^2 γ€–(25)γ€—^2 = γ€–(7)γ€—^2 + 〖𝐡𝐢〗^2 625 = 49 + 〖𝐡𝐢〗^2 625 βˆ’ 49 = 〖𝐡𝐢〗^2 576 = 〖𝐡𝐢〗^2 γ€–(24)γ€—^2 = 〖𝐡𝐢〗^2 Cancelling squares 24 = 𝐡𝐢 𝐡𝐢 = 24 ∴ 𝑩π‘ͺ = 24 cm Rough 576 = 2 Γ— 2 Γ— 2 Γ— 2 Γ— 2 Γ— 2 Γ— 3 Γ— 3 = (2 Γ— 2 Γ— 2 Γ— 3) Γ— (2 Γ— 2 Γ— 2 Γ— 3) = 24 Γ— 24 = 242

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