anonymous
  • anonymous
plse solve this
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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jazzyfa30
  • jazzyfa30
Do you know the formula for the area of a triangle?
anonymous
  • anonymous
yes
jazzyfa30
  • jazzyfa30
okay what is it?

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anonymous
  • anonymous
(1/2) * base * height
anonymous
  • anonymous
Your trapezoid will look like this in a more detailed manner: |dw:1370794837531:dw| So I think you can try to use proportions with some parts of this trapezoid to get the area. You can also just use the basic trapezoid formula for area.
jazzyfa30
  • jazzyfa30
good so lets split the parallelogram into two triangles
jazzyfa30
  • jazzyfa30
remember it asked for the area of two triangles and whether they will have the same area so no you can not use a proportion.
radar
  • radar
|dw:1370798678042:dw|
radar
  • radar
The two triangles are similar and the following ratios exist. EB/EA = EC/ED = BC/AD = 10/25 Calculate EB using the EB/EA expressed as (EB )/(EB + 14) =10/25 EB=28/3. Similarly solve of EC, EC/(EC+13) = 10/25=2/5. EC =26/3 Now that all three sides of each triangle are now known, us Heron's equation to solve for each triangles area.
radar
  • radar
|dw:1370800078684:dw|
jazzyfa30
  • jazzyfa30
Did you read the problem it clearly states to split the parallelogram into two triangles and solve for the area of both and compare I don't know what you are doing.
radar
  • radar
Calculate S=.5(28/3 +10 + 26/3)=.5 ( 10 + 18)=14 Area(BEC) = SqRt[14(14-28/3)(14 - 26/3)(14-10)] = 37 1/3 Calculate S for Area (AED)=.5(70 +100/3)=51 2/3 Calculate Area for large triangle AEB. A=SqRt [51 2/3(51 2/3 - 25)(51 2/3 - 70/3)(51 2/3 - 65/3)]=1082 sq units Area of trapezoid = 1082-37 1/3 = 1044 2/3 sq units.
radar
  • radar
Just arranging the problem into two triangles. There may be errors in the arithmetic, but the procedure will provide a solution. from No. 1.

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