Question

If the measure of angle ACB is 90°, then which expression represents the value of g? triangle ACB, point E is on segment AC between points A and C and point D is on segment BC between points B and C, creating segment ED, CE equals h, EA equals j, CD equals k, DB equals m, ED equals g, and AB equals f
g equals f over 2
g = 2f
g equals j over h
g equals k over m

Answer 1

Answer:

$g=\frac{f}{2}$

Step-by-step explanation:

The picture of the question in the attached figure

In this problem i will assume that point E is the midpoint AC and point D is the midpoint BD

so

we know that

The Triangle Midpoint Theorem states that the segment joining two sides of a triangle at the midpoints of those sides, is parallel to the third side and is half the length of the third side

In this problem the segment ED joining two sides of a triangle at the midpoints of those sides

so

ED is parallel to AB and ED is half the length of AB

$ED=\frac{1}{2}AB$

we have

$AB=f\\ED=g$

substitute the given values

$g=\frac{f}{2}$