The area of the rhombus ABCD is 400

To prove that the area of this rhombus is equal to one half times x AC x BD, essentially proving that the area of a rhombus is one half times the product of the lengths of its diagonals

Let me write this down, the rhombus the rhombus area is equal to four times one half AB

The area of the rhombus is equal to 2 times A was 10, 2 times 10 times 20

In the last video we talked about a particular way of finding a area of a rhombus.

Now we need to figure out the area of rhombus A, B, C and D

So, all four of these triangles are congruent so you could take the area of this triangle multiply it by four you will have the area of the rhombus

So we now A is 10 B is 20 we just have to go right back here to figure out the area of the rhombus

Now, if we knew this green length here and this blue length here we would be able to figure out the area of the rhombus

We can tell more we can figure out A and B, we can figure out A and B we can figure out the rhombus' area

Let's solve for A and B if we know A and B we can then go back here to figure out the rhombus' area

Find the area of rhombus ABCD giving that the radii of the circles circumscribed about triangles ABD and ACD are 12 5 and 25 respectively

That half of the rhombus

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So let's draw ourselves rhombus ABCD

This is based on the structure of a diamond.

When you meet that certain one

And so essentially, the combination of these two altitudes is really just a diagonal of this rhombus, and it's at a right angle to the other diagonal of the rhombus.

So the area of our path is going to be area of the outside minus the area of the inside, which is equal to 121 pi.

But the area of CBA is the same thing as the area of ADC.

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A times our any solution minus A times our particular solution.

So there we go rhombus ABCD

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It's going to be equal to the area of triangle ADC plus the area of CBA.

Well the area is just the width times the length.

The area of ABCD is equal to the area of ADC plus the area of ABC but since they're congruent, these 2 are going to be the same thing so it's just going to be 2 times the area of ABC

Area borders

Area

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Let's think about everything we know about a rhombus

And so that your only solution is going to be the particular solution that you found, depending on how you got there, but it's only going to be your particular solution.

First of all, a rhombus is a special case of a parallelogram

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So the area of this triangle is exactly 1 2 of the area of that rectangle.

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drawing area

Canvas

Widest Area