Respuesta :

6.5 = 1/2(2.5 + 4) h
6.5 = 1/2(6.5)h
6.5 = 3.25 h
h = 6.5 / 3.25
h = 2

answer
the altitude of the trapezoid is 2 cm

Answer:

Altitude of the trapezoid is 2 cm.

Step-by-step explanation:

ABCD is a trapezoid. Since two bases of the trapezoid are

B1 = 2.5 cm and B2 = 4 cm.

Area given is 6.5 cm²

Then we have to calculated he altitude of the trapezoid.

Now we know the formula of area of the trapezoid = [tex]\frac{1}{2}[/tex] ( Base1 + Base2)

By putting the values in the formula

6.5 =  [tex]\frac{1}{2}[/tex] ( 2.5 + 4 ) × h

6.5 =  [tex]\frac{6.5}{2}[/tex] × h

h =  \frac{2\times 6.5}{6.5} = 2 cm.

Answer is altitude of the trapezoid is 2 cm.