kavinudaiappa kavinudaiappa
  • 22-09-2018
  • Mathematics
contestada

What is the area of a trapezoid ABCD with bases AB and CD
, if:
AB = 10 cm, BC=DA=13 cm, CD=20 cm;

Respuesta :

Belllle
Belllle Belllle
  • 22-09-2018
A= a+b/2h =10+20/2 x13 =195

I believe 195 is correct if not, I’m so sorry
Answer Link
sqdancefan
sqdancefan sqdancefan
  • 22-09-2018

If you draw a perpendicular to CD from point A or point B, you will create a right triangle with one leg 5 and hypotenuse (BC or DA) 13. The other leg of this triangle is the height of the trapezoid:

... h = √(13² -5²) = 12

The area is this height multiplied by the average base length:

... Area = (12 cm)×(10 cm +20 cm )/2 = 180 cm²

Ver imagen sqdancefan
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