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Find the area of the rhombus.
15 in
12 in
(It’s not 90)

Find The Area Of The Rhombus 15 In 12 In Its Not 90 class=

Sagot :

Answer:

khurta pajama kala kala

Step-by-step explanation:

you are bosadi wala wala

Answer:  216 square inches

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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.

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