Question

$c^{2}=a^{2}+b^{2}$ is called the
select one:
a. quadratic formula
b. slope formula
c. pythagorean theorem
d. theory of relativity

the pythagorean theorem is for __________ triangles.
select one:
a. right
b. acute
c. obtuse
d. scalene

Explanation:

For the first question: The formula $C^2 = A^2 + B^2$ defines the relationship between the sides of a right triangle, which is the core of the Pythagorean theorem. The quadratic formula solves quadratic equations, the slope formula calculates line steepness, and the Theory of Relativity is a physics concept, so they do not match.
For the second question: The Pythagorean theorem specifically describes the side relationship only in triangles that have one 90-degree (right) angle, so it applies to right triangles. Acute, obtuse, and scalene triangles do not follow this theorem universally.

Answer:

1. c. Pythagorean theorem
2. a. right