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The opposite sides and therefore the opposite angles of a parallelogram are equal and the four angles add up to 360 degrees.
Knowing this and being given one angle of 100 you will know the opposite angle will be 100. Take the sum of the two know angles from 360 and divide by two to find the two remaining angles.
area = length x width If you assign the height (width) as X then the base (Length) would then be 2X. So if you go
50 = X x 2X
50 = 2X squared
25 = X squared
5 = X
So your height is 5 and the base is 10
I don't think you can figure out the area of this rhombus/parallelogram.
The area of a parallelogram is base, which we have, times height.
Picture the parallelogram with all the angles being 90 degrees. The area would be 54 square centimetres. Now imagine you can slide the top part of the parallelogram to the right, with the bottom fixed and all the corners on hinges. In theory, you can nearly slide the top down until it is just above the base. The area would approach zero, as the height of the parallelogram decreases.
If it's a parallelogram, the other two sides must be equal as well. You already know two of the sides as 13.6 each.
Your equation would be as follows (using x for the solution)
94 - (13.6 + 13.6) = 2x
o find the area of a triangle, multiply the base by the height, and then divide by 2. The division by 2 comes from the fact that aparallelogram can be divided into 2 triangles. For example, in the diagram to the left, the area of each triangle is equal to one-half the area of the parallelogram.
Since the area of a parallelogram is , the area of a triangle must be one-half the area of a parallelogram. Thus, the formula for the area of a triangle is:
or
where is the base, is the height and · means multiply.
The base and height of a triangle must be perpendicular to each other. In each of the examples below, the base is a side of the triangle. However, depending on the triangle, the height may or may not be a side of the triangle. For example, in the right triangle in Example 2, the height is a side of the triangle since it is perpendicular to the base. In the triangles in Examples 1 and 3, the lateral sides are not perpendicular to the base, so a dotted line is drawn to represent the height.
1. the ratio of there height is 3:2
2. the ratio of areas of the triangle is: 125:6561 3. the perimeter of smaller parallelogram is: 40 cm2 4. THe real length of the object is 7 cm
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