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The height of the isosceles trapezoid ABCD from the vertex D of the obtuse angle divides the longer base into sections AE and EB of 3 cm and 13 cm respectively. The triangle AED is isosceles. Calculate the area of the trapezoid ABCD.

Respuesta :

Answer:

39 sq cm

Step-by-step explanation:

Ok.  Since ΔAED is isosceles, then the height of the trapezoid is 3 cm

One base is 16 and the other base is 16 - 3 - 3 = 10.

A = 1/2 h([tex]b_{1}[/tex] + [tex]b_{2}[/tex])  where [tex]b_{1}[/tex] and [tex]b_{2}[/tex] are lengths of the bases

A = 1/2(3)(10 + 16)

  = 1/2(3)(26)

  = 39 sq cm

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