Answer:
No. it is not tangent to the circle ⇒ A
Explanation:
In any circle a tangent and a diameter are perpendicular at one end of the diameter
In the attached figure
∵ The line segment drawn from point A is passing through
the center of the circle
∴ This line segment is a diameter of the circle
∵ If AB is a tangent to the circle at point A
- That means the diameter and the tangent meet each other
at point A (one end of the diameter)
∴ AB and the diameter are perpendicular at point A
∴ m∠A = 90°
Now let us check if the lengths of the triangle formed a right angle triangle or not by using the inverse of Pythagoras Theorem
In a triangle if the square of the longest side is equal to the sum of the squares of the other two sides, then the triangle is a right triangle at the vertex which opposite to the longest side
∵ 17 is the longest side in the triangle
∵ The other two sides are 10.2 units and 6.8 units
∵ (17)² = 289
∵ (10.2)² + (6.8)² = 150.28
∴ (17)² ≠ (10.2)² + (6.8)²
∴ The triangle can not be a right triangle because the square
of the longest side is not equal to the sum of the squares of the
other two sides
∵ ∠A is opposite to the longest side
∴ m∠A ≠ 90°
∴ Line AB is not perpendicular to the diameter at A
∴ Line AB is not a tangent to the circle