So one diagonal is 3, and then it gives that one angle or whatever is 60 degrees.
How do I find the area? I’m so lost i’ve been trying to figure this out for hours lol..
The 60 degree angle is positioned like this : here’s the link
3 Answers
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where is the position of angle 60 degrees in your diagram ?
Need the diagram !
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well a rhomus is a parallelogram with 4 equal sides. and by looking at it, you have 4 angles total, with 2 of the same ones. so lets say you drew the diagram so it looks like a diamond. your top angle is 60 degrees, and the two sides are 3 each. we draw a line horizontally through the diamond. using the cosine law, we can find the length of the horizontal line we just drew.
a^2=b^2 + c^2 -2bcCosA
a^2=(3)^2 + (3)^2 -2(3)(3)Cos60
a^2=18 -18(0.5)
a^2=9
sqrt both sides
a=3 so you know the horizontal line has a length of 3.
using this, we can find the height from the horizontal line to the tip of the diamond.
we draw a vertical line from the middle of the horizontal line to the tip of the diamond.
using pythagorean theorem:
a^2 + b^2 = c^2
(1.5)^2 + b^2 = (3)^2
b^2 = 6.75
because we’ll end up with a large decimal, we’ll leave it as “sqrt of 6.75”
now we use our triangle formula to find the area of the top of the diamond.
(base times height)/2 but since we have two identical triangles (one at the top, one at the bottom, we can multiply by two leaving us just “base times height”.
[(3)(sqrt6.75)]
so your area is approximately 7.79units squared.
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element of parallelogram or rectangle or sq. or rhombus = base * height element of circle = pi * r^2 element of triangle = a million/2 * base * height element of t ɾąքҽ zoid = height * favourite base length element of a familiar hexagon = 3 * sqrt(3) / 2 * s^2, the place s = factor length section for sector of a circle = pi * r^2 * (perspective/360)
