Question

which theorem helps in finding the unknown side length of a right triangle? a. fundamental theorem of algebra b. binomial theorem c. pythagorean theorem d. mean value theorem

Explanation:

Step1: Analyze each theorem

• Fundamental Theorem of Algebra: Deals with roots of polynomials.
• Binomial Theorem: Expands binomial expressions.
• Pythagorean Theorem: For right - triangles, \(a^{2}+b^{2}=c^{2}\) (where \(a,b\) are legs and \(c\) is hypotenuse).
• Mean Value Theorem: Relates derivative and function values.

Step2: Determine the correct theorem

Since we need to find the unknown side length of a right - triangle, the Pythagorean Theorem is applicable.

Answer:

C. Pythagorean Theorem