SOLUTION: A rhombus ABCD has a perimeter of 32cm and a diagonal AC of length 8cm. Find the exact length of diagonal BD, giving reasons
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Question 1130269: A rhombus ABCD has a perimeter of 32cm and a diagonal AC of length 8cm. Find the exact length of diagonal BD, giving reasons
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
The perimeter is 32cm, so the side length is 8cm.
If diagonal AC is 8cm, then it divides the rhombus into two equilateral triangles.
So diagonal BD, along with diagonal AC, divides the rhombus into four congruent 30-60-90 right triangles.
Use your knowledge about the ratios of the side lengths of a 30-60-90 right triangle to answer the question.
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