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Ex 6.1, 6 - Using the given pattern, find the missing numbers 1 2 + 2

Ex 6.1, 6 - Chapter 6 Class 8 Squares and Square Roots - Part 2
Ex 6.1, 6 - Chapter 6 Class 8 Squares and Square Roots - Part 3

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Ex 6.1, 6 Using the given pattern, find the missing numbers. 1^2 + 2^2+2^2 = 3^2 1^2 + 3^2+6^2 = 7^2 3^2 + 4^2+〖12〗^2 = 〖13〗^2 4^2 + 5^2+〖__〗^2 = 〖21〗^2 5^2 + 〖__〗^2+〖30〗^2 = 〖31〗^2 6^2 + 7^2+__ = 〖__〗^2 𝟒^𝟐 + 𝟓^𝟐+〖__〗^𝟐 = 〖𝟐𝟏〗^𝟐 Now, 3rd number = 4 × 5 = 20 ∴ 4^2 + 5^2+〖𝟐𝟎〗^𝟐 = 〖21〗^2 𝟓^𝟐 + 〖__〗^𝟐+〖𝟑𝟎〗^𝟐 = 〖𝟑𝟏〗^𝟐 Now, 3rd number = 1st number × 2nd number 3rd number = 5 × 2nd number 30 = 5 × 2nd number 30/5 = 2nd number 6 = 2nd number 2nd number = 6 ∴ 𝟓^𝟐 + 𝟔^𝟐+〖𝟑𝟎〗^𝟐 = 〖𝟑𝟏〗^𝟐 ∴ 5^2 + 𝟔^𝟐+〖30〗^2 = 〖31〗^2 𝟔^𝟐 + 𝟕^𝟐+__ = 〖__〗^𝟐 Now, 3rd number = 1st number × 2nd number 3rd number = 6 × 7 = 42 Also, 4th number = 3rd number + 1 = 42 + 1 = 43 ∴ 6^2 + 7^2+〖𝟒𝟐〗^𝟐 = 〖𝟒𝟑〗^𝟐

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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.