Find these of rhombus are side of which unequal side and one of the whose diagonal is 24cm.
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Hey mate here is your answer
Each side of a rhombus is 15 cm and the length of one of its diagonal is 24 cm. What is the area of the rhombus?
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(it’s helpful to draw this out as we go)
Let’s call it ABCDABCD and name the midpoint EE.
The diagonal ACAC has length 2424cm.
AEAE is half of ACAC, so the length is 1212cm.
ABEABE is a right triangle with sides AB=15AB=15cm and AE=12AE=12cm.
Using the Pythagorean Theorem, BE=9BE=9cm.
Diagonal BDBD is twice the length of BEBE, therefore it is 1818cm.
Using the area formula A=d1d22A=d1d22, we have 18×242=216218×242=2162
Hope this was helpful!
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