Asked by Anonymous
Find the area of the rhombus: In rhombus ABCD, AB=11 and AC=13. Find the area of the rhombus.
What should be done to find the values of the diagonals?
What should be done to find the values of the diagonals?
Answers
Answered by
Henry
A = D1*D2/2 = 13 * 13 / 2 =84.5
All of the sides of a rhombus are equal. So the longest side is the diagonal.
All of the sides of a rhombus are equal. So the longest side is the diagonal.
Answered by
Henry
CORRECTION!
The 2 diagonals are NOT equal. But they
are perpendicular bisectors of each other. They intersect at E.
(AE)^2 + (BE)^2 = (11)^2,
(6.5)^2 + (BE)^2 = 121,
42.25 + (BE)^2 = 121,
(BE)^2 = 121 - 42.25 = 78.75,
BE = sqrt(78.75) = 8.9.
BD = 2 * BE = 2 * 8.9 = 17.8.
A = D1 * D2 / 2 = 13 * 8.9 / 2 = 57.85
The 2 diagonals are NOT equal. But they
are perpendicular bisectors of each other. They intersect at E.
(AE)^2 + (BE)^2 = (11)^2,
(6.5)^2 + (BE)^2 = 121,
42.25 + (BE)^2 = 121,
(BE)^2 = 121 - 42.25 = 78.75,
BE = sqrt(78.75) = 8.9.
BD = 2 * BE = 2 * 8.9 = 17.8.
A = D1 * D2 / 2 = 13 * 8.9 / 2 = 57.85
Answered by
Henry
OOPS!
A = D1 * D2 / 2 = 13 * 17.8 /2 = 115.7
A = D1 * D2 / 2 = 13 * 17.8 /2 = 115.7
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