Answer:
36 units.
Step-by-step explanation:
we will use concept of basic proportionality theorem,
it states that , when a line is drawn parallel to one side of the triangle and intersect the other two sides then the two sides are divided in the same ratio.
Example:
In a triangle ABC
If DE is parallel to BC
D is a point on line AB and E is point on AC, then
by basic proportionality theorem)
AD/DB = AE/EC
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in the problem given one side has a parallel line drawn to it
Hence we can use basic proportionality theorem in it
20/30 = 24/?
2/3 = 24/?
=> ? = 24*3/2 = 36
Hence, missing segment value is 36 units.
