kudinova2004 kudinova2004
  • 09-06-2017
  • Mathematics
contestada

Given: ABCD is a rhombus,
Perimeter = 20,
AC:BD = 4:3 Find:
Area of ABCD.

Respuesta :

akaleti47
akaleti47 akaleti47
  • 09-06-2017
4a=20⇒a=5

we know diagonals are perpendicular. if u look at one of the right triangles, you can see that for hypotenuse to be 5, the legs have to be 4 and 3 to satisfy the given ratio 4:3.

so, diagonals are 8 and 6 as we know that diagonals bisect each other.

Area=8*6/2=24
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