Question

Trying to find the missing segment to the triangle in the attached image.

Answer 1

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.