Solve for x. that is all thats provided for the question

Mathematics

1 answer:

marta [7]3 years ago

6 0

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.

<u>Answer</u>: Hence, value of x is 20 units.

<u>Additional comment:</u>

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"

Please let me know if you have other questions.

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