Question

Find the length of a AT when the radius of the circle is all the distance between points a and O is a.

Answer 1

AT = √(a² - r²)

Explanation:

Pythagorean Theorem (NOTE: the hypotenuse is ALWAYS c!!!):

1. Let AT = t... Then, t² + r² = a²

2. Solve for t: t² = a² - r²

√(t²) = √(a²-r²) [we'll only use the principal root, since we're dealing with length]

3. Finalize: t = AT = √(a² - r²)