Respuesta :
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 [tex]s[/tex].
Solution:
CE = 0.5 × AC Definition of midpoint
CD = 0.5 × CB Definition of midpoint
Therefore, we have;
[tex]\frac{CE}{AC} =\frac{CD}{CB} =0.5[/tex]
Therefore, given that ∠C ≅ ∠C, by the reflexive property, we have;
ΔABC is similar to ΔCDE by Side-Angle-Side similarity
Which gives;
[tex]\frac{CE}{AC} = \frac{CD}{CB} = \frac{ED}{AB} =0.5=\frac{1}{2}[/tex]
ED = s and AB = u which gives;
[tex]\frac{ED}{AB}=\frac{s}{u} =0.5=\frac{1}{2}[/tex]
[tex]\frac{s}{u} =\frac{1}{2}[/tex]
Which gives:
[tex]s=\frac{1}{2} *u[/tex]
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:
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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
