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To find
𝑥
x, given that lines appearing tangent are tangent, we utilize the property that tangents drawn from a common external point to a circle are equal in length. The given lengths are
𝑥
+
3
x+3,
6
6,
5
5, and
1
+
𝑥
1+x. Setting up the equation based on this property, we equate
𝑥
+
3
x+3 to
6
6, since all tangents are equal. Solving
𝑥
+
3
=
6
x+3=6 by subtracting 3 from both sides gives
𝑥
=
3
x=3. Therefore, the value of
𝑥
x is
3
3
.
1 answer
In order to determine the value of x, when given that lines are tangent, we can use the property that tangents drawn from a common external point to a circle are of equal length. The lengths given are x+3, 6, 5, and 1+x. By setting up the equation based on this property, we can equate x+3 to 6, as all tangents are equal. Solving x+3=6 by subtracting 3 from both sides gives x=3. Therefore, the value of x is 3.