Question

If point E is the midpoint of and point D is the midpoint of , which expression represents the value of s

Answer 1

The length of ED is half the length of AB.

What is the length?

• Distance is measured by length.
• Length is a quantity with the dimension distance in the International System of Quantities.
• Most measurement systems use a base unit for length from which all other units are derived.
• The meter is the foundation unit of length in the International System of Units.

Reasons:

The given parameters are;

In ΔABC, point E is the midpoint of AC

The midpoint of BC is the point D

Segment ED = s

Segment CE = p

Segment EA = r

Segment CD = q

Segment DB = t

Segment ED = s

Segment AB = u

Required:

The expression that represents the value of $s$.

Solution:

CE = 0.5 × AC Definition of midpoint

CD = 0.5 × CB Definition of midpoint

Therefore, we have;

$\frac{CE}{AC} =\frac{CD}{CB} =0.5$

Therefore, given that ∠C ≅ ∠C, by the reflexive property, we have;

ΔABC is similar to ΔCDE by Side-Angle-Side similarity

Which gives;

$\frac{CE}{AC} = \frac{CD}{CB} = \frac{ED}{AB} =0.5=\frac{1}{2}$

ED = s and AB = u which gives;

$\frac{ED}{AB}=\frac{s}{u} =0.5=\frac{1}{2}$

$\frac{s}{u} =\frac{1}{2}$

Which gives:

$s=\frac{1}{2} *u$

The expression that represents the value of s is; s = one-half u

Therefore, the length of ED is half the length of AB.

Know more about the length here:

brainly.com/question/2217700

#SPJ4

The question you are looking for is here:

If point E is the midpoint of segment AC and point D is the midpoint of segment BC, which expression represents the value of s? triangle CAB, 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 p, EA equals r, CD equals q, DB equals t, ED equals s, and AB equals u s equals p over q s = one half s equals q over p s = 2u