area of triangles and quadrilaterals basic equations and applying to irregular polygons
TRANSCRIPT
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Area of Triangles and Quadrilaterals
Basic equations and applying to irregular polygons
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Triangles
Half the area of the Rectangle or parallelogram it would fit intoHeight or Altitude – perpendicular segment from vertex to side opposite, could be outside the triangle
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Rectangles and Parallelograms
These two go together because the are very similar shapesBase time heightRemember the height is the perpendicular segment between two basesRectangle – sides are perpendicularParallelogram – need to have height or calculate the height, may be outside the parallelogram
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Trapezoid
Think of this as two triangles – they have different basesSum of two bases times height divided by 2
Can’t always divide trapezoid into a rectangle and two triangles, the end triangles may not be the same
221 hbb
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Kite
Split into 2 congruent triangles using the diagonalsArea of one triangle times 2
2
2*1 diagdiag
2
2*12
halfdiagdiag
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Example
Find the area of the large rectangles and subtract the missing corner
Divide shaded region into 2 rectanglesFind the area of each rectangle and addThem together
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Example
Given the area find the base of the triangleSub in what you know into the areaEquation for a triangle and solve for b
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y
5
6
9
15
6x
Dotted lines represent heights of the same triangle but from different views.Look at the three triangles, they should all have the same area, set up area equation and solve for x and y
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Homework
All Homework Due WednesdayPg 425 1-9 odd, 17 and 20Honors 21-24Pg 430 1-11 oddHonors 18 and 19