Applying the triangle proportionality theorem, the length of Jk in the diagram given is: 16 units.
What is the Triangle Proportionality Theorem?
The triangle proportionality theorem states that when a side of a triangle is parallel to a line that intersects the other two sides of the triangle, then it divides the two sides of the triangle, proportionately.
Using the triangle proportionality theorem, we have the ratio if JK is x:
x/(36 - x) = (63 - 35)/35
x/(36 - x) = 28/35
35x = 28(36 - x)
35x = 1,008 - 28x
35x + 28x = 1,008
63x = 1,008
x = 16
JK is: 16 units.
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