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Ex 6.2, 5 One diagonal of a rhombus is twice as long as the other diagonal. If the rhombus has area 128 cm2, find the length of the shorter diagonal. Given that One diagonal of a rhombus is twice as long as the other diagonal Let First diagonal = d cm Thus, Second Diagonal = 2d cm Now, we know that Area of rhombus = 1/2 × d1 × d2 128 = 𝟏/𝟐 × d × 2d 128 = d × d 128 = d2 d2 = 128 d = √128 d = √(64 × 2) d = √(8^2 × 2) d = √(8^2 ) ×√2 d = 𝟖√𝟐 cm Thus, length of shorter diagonal is 𝟖√𝟐 cm

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Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

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