Answer:
The, value x for the give problem is 20 units.
Step-by-step explanation:
Consider triangle ABC,
Now, from the attached figure
Given that
PQ || AB
CP = 8units
PA = 6 units
CQ = x = ? units.
QB = 15 units
We know that
By Basic Proportionality Theorem,
CP / PA = CQ / QB
On substituting these values in the above formula
⇛ (8) / (6) = (x) / (15)
On applying cross multiplication then
⇛ 8(15) = x(6)
⇛ 120 = 6x
⇛ x = 120÷6
⇛ x = 120/6
Therefore, x = 20 units.
Answer: Hence, value of x is 20 units.
Additional comment:
Basic Proportionality Theorem
" A line drawn parallel to the one side of a triangle intersecting other two sides at two different points, then the line divides the other two sides in the same ratio"
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