A 68cm long rope is used to make a rhombus on the ground . the distance between a pair of opposite corners is 16 m. what is the distance between the other two corners ?
Answers
distance between the other two corners is 30 m.
a/c to question, A 68 cm long rope is used to make a rhombus on the ground.
so, perimeter of rhombus = length of rope
⇒4 × side length of rhombus = 68
⇒side length of rhombus = 68/4 = 17
now using formula,
4 × (side length)² = (1st diagonal)² + (2nd diagonal)²
⇒ 4 × 17² = 16² + (2nd diagonal)²
⇒(34)² - 16² = (2nd diagonal)²
⇒(34 - 16)(34 + 16) = 18 × 50 = (2nd diagonal)²
⇒2nd diagonal = √(900) = 30
hence, distance between two others opposite corners is 30m
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