Question

what equation would you use to solve for x? a. x = 6.8 + 10.6 b. x² + 10.6² = 6.8² c. x² + 6.8² = 10.6² d. 6.8² + 10.6² = x²

Explanation:

Step1: Identify right - triangle

The radius of the circle (10.6) is the hypotenuse of a right - triangle, and the other two sides are 6.8 and x.

Step2: Apply Pythagorean theorem

In a right - triangle, the Pythagorean theorem states that for sides a, b and hypotenuse c, \(a^{2}+b^{2}=c^{2}\). Here \(a = x\), \(b = 6.8\) and \(c = 10.6\), so \(x^{2}+6.8^{2}=10.6^{2}\).

Answer:

C. \(x^{2}+6.8^{2}=10.6^{2}\)