Points b, d, and f are midpoints of the sides of δace. if ec⎯⎯⎯⎯⎯= 30 and df⎯⎯⎯⎯⎯ = 17, find ac⎯⎯⎯⎯⎯ 34 60 8.5 30

Answer

AC = 34

Explanation

It is given that,ΔACE,

B is the mid point of AC

D is the mid point of CE

and F is the mid point of AE

If D and F are the midpoints, The line joining D and F parallel to third side AC.

The two triangles ΔACE and ΔFDE are similar and their sides are in the ratio 1/2

Here FD = 17  therefore AC = 34

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.