Question

Find the value of x. Assume that segments that appear to be tangent are tangent.

The image is a circle with a radius of 8.6 and with that point a triangle is formed inside the circle. One side being 5.6 and the other undetermined or x.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the value of x, we can use the Pythagorean theorem since the triangle is a right triangle (formed by a radius, tangent line, and part of the circle's circumference).

Let x be the unknown side length of the triangle.

Using the Pythagorean theorem, we have:

x^2 + 5.6^2 = 8.6^2
x^2 + 31.36 = 73.96
x^2 = 42.6
x = √42.6
x ≈ 6.52

Therefore, the value of x is approximately 6.52.