the diagonals of a rhombus are 12 centimeters and 16 centimeters. what is the length of one side of the rhombus?
1 answer:
In a rhombus, the diagonals meet at right-angles, and they bisect each other, namely they cut each other in half, check the picture below.
thus we can use the pythagorean theorem to get one side, keeping in mind that, slanted as it may be, all sides in a rhombus are equal in length.
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X - 1 < = 9 or 2x > = 24
x < = 9 + 1 x > = 24/2
x < = 10 x > = 12
closed circle on 10, shaded to the left
closed circle on 12, shaded to the right
________10_______12__________
<====X X======>
the X represents closed circles
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I believe you set them equal to each other.
2x+4=5x-9
x=4.3
2(4.3)+4=12.6
I think the answer is 12.6
The slope is -3 and the y-intercept is -1
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