All High School Math Resources
Example Questions
Example Question #1 :How To Find The Area Of A Kite
What is the area of a kite with diagonals of 5 and 7?
To find the area of a kite using diagonals you use the following equation
That diagonals (and)are the lines created by connecting the two sides opposite of each other.
Plug in the diagonals forandto get
Then multiply and divide to get the area.
The answer is
Example Question #2 :Kites
Find the area of the following kite:
The formula for the area of a kite is:
Whereis the length of one diagonal andis the length of the other diagonal
Plugging in our values, we get:
Example Question #3 :Kites
Find the area of the following kite:
The formula for the area of a kite is:
whereis the length of one diagonal andis the length of another diagonal.
Use the formulas for atriangle and atriangle to find the lengths of the diagonals. The formula for atriangle isand the formula for atriangle is.
Ourtriangle is:
Ourtriangle is:
Plugging in our values, we get:
Example Question #1 :Quadrilaterals
Find the perimeter of the following kite:
In order to find the length of the two shorter edges, use a Pythagorean triple:
In order to find the length of the two longer edges, use the Pythagorean theorem:
The formula of the perimeter of a kite is:
Plugging in our values, we get:
Example Question #2 :How To Find The Perimeter Of Kite
Find the perimeter of the following kite:
The formula for the perimeter of a kite is:
Whereis the length of the longer side andis the length of the shorter side
Use the formulas for atriangle and atriangle to find the lengths of the longer sides. The formula for atriangle isand the formula for atriangle is.
Ourtriangle is:
Ourtriangle is:
Plugging in our values, we get:
Example Question #1 :How To Find The Length Of The Side Of A Trapezoid
When polygons are similar, the sides will have the same ratio to one another. Set up the appropriate proportions.
Cross multiply.
Example Question #1 :How To Find The Area Of A Trapezoid
Find the area of the following trapezoid:
The formula for the area of a trapezoid is:
Whereis the length of one base,is the length of the other base, andis the height.
To find the height of the trapezoid, use a Pythagorean triple:
Plugging in our values, we get:
Example Question #2 :How To Find The Area Of A Trapezoid
Find the area of the following trapezoid:
Use the formula fortriangles in order to find the length of the bottom base and the height.
The formula is:
Whereis the length of the side opposite the.
Beginning with theside, if we were to create atriangle, the length of the base is, and the height is.
Creating anothertriangle on the left, we find the height is, the length of the base is, and the side is.
The formula for the area of a trapezoid is:
Whereis the length of one base,is the length of the other base, andis the height.
Plugging in our values, we get:
Example Question #1 :Quadrilaterals
Determine the area of the following trapezoid:
The formula for the area of a trapezoid is:
,
whereis the length of one base,is the length of another base, andis the length of the height.
Plugging in our values, we get:
Example Question #4 :How To Find The Area Of A Trapezoid
Find the area of the following trapezoid:
The formula for the area of a trapezoid is:
,
whereis the length of one base,is the length of another base, andis the length of the height.
Use the Pythagorean Theorem to find the height of the trapezoid:
Plugging in our values, we get:
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