contestada

For the trapezoid ABCD E and F are the midpoints of
AC
and
BD
respectively.
Find the length of the segment
EF
, if AB = a, BC = b, CD = c, AD = d.

For the trapezoid ABCD E and F are the midpoints of AC and BD respectively Find the length of the segment EF if AB a BC b CD c AD d class=

Respuesta :

calculista

Answer:

[tex]EF=\frac{b+d}{2}\ units[/tex]

Step-by-step explanation:

we know that

The Trapezoid Mid-segment Theorem. states that the length of the mid-segment is equal to the sum of the base lengths divided by two.

so

[tex]EF=\frac{BC+AD}{2}[/tex]

we have

[tex]BC=b\ units\\AD=d\ units[/tex]

substitute the given values

[tex]EF=\frac{b+d}{2}\ units[/tex]

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