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.
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.
Answers
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.
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.