HuntedCS
HuntedCS HuntedCS
  • 20-03-2018
  • Mathematics
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In the rhombus ABCD, angle DBA is 60 if DE is 8.5cm

In the rhombus ABCD angle DBA is 60 if DE is 85cm class=

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jdoe0001 jdoe0001
  • 20-03-2018
check the picture below.

in a rhombus, the diagonals meet always at right angles, namely the angles at vertex E are all 90°.

also, the diagonals cut each other at equal halves, namely DE = EB, and since we know DE = 8.5, then EB = 8.5..

we also know ∡DBA is 60°, that makes all triangles a 30-60-90 triangle, including the triangle ABE, and using the 30-60-90 rule as you see in the picture, then we get that much.
Ver imagen jdoe0001
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