If the measure of angle ACB is 90°, then which expression represents the value of g? triangle ACB, point E is on segment AC betw

Question

2 months ago

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If the measure of angle ACB is 90°, then which expression represents the value of g? triangle ACB, point E is on segment AC betw

een 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

Mathematics

1 answer:

lawyer [12.5K] · Answer 1 · 2026-03-22T09:52:44+03:00

Response:

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

Detailed explanation:

The problem is illustrated in the accompanying diagram

Assuming point E is the midpoint of AC and point D as the midpoint of BD

thus

we have established that

According to the Triangle Midpoint Theoremthe segment linking the midpoints of two sides in a triangle is parallel to the third side and is half its length

In this scenario, the segment ED joins the midpoints of the triangle's sides

therefore

ED runs parallel to AB, and ED measures half the length of AB

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