Find the area of the rhombus.
15 in
12 in
(It’s not 90)
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Answer:
khurta pajama kala kala
Step-by-step explanation:
you are bosadi wala wala
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Explanation:
Let's focus on the upper left triangle. This triangle is a right triangle because the diagonals of any rhombus are always perpendicular.
Use the pythagorean theorem to find the missing leg of this triangle
[tex]a^2+b^2 = c^2\\\\12^2+b^2 = 15^2\\\\144+b^2 = 225\\\\b^2 = 225-144\\\\b^2 = 81\\\\b = \sqrt{81}\\\\b = 9\\\\[/tex]
We'll consider this the height. The base is 12.
area of triangle = base*height/2
area = 12*9/2
area = 108/2
area = 54
This represents the area of the upper left triangle.
Because the diagonals of a rhombus bisect each other, this leads to the four triangles shown being identical copies of one another.
So we simply need to multiply that result of 54 by 4 to get the total area of the rhombus.
4*54 = 216 square inches is the area of the rhombus.