Given: XY - tangent to circles k1(P) and k2(O) OX=16, PY=6 and OP=26 Find: XY

XY = 24 units

Step-by-step explanation:

First of all, we need to some construction here.

Let us draw a line parallel to XY from point P towards OX, which cuts OX at point Q.

Please refer to the attached figure.

Now, Let us consider triangle OQP which is a right angled triangle, with

Hypotenuse, OP = 26 units

Height, OQ = OX - PY = 16  - 6 = 10 units

Base, PQ = ?

We can use pythagorean theorem here to find the value of PQ.

According to pythagorean theorem:

Now, we can see that side PQ is equal to side XY.

XY = 24 units is the answer.

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step-by-step explanation:

the answer is a