Question

12 directions - fill in the blanks with the correct terms.
a) the pythagorean theorem works with right triangles.
b) in the pythagorean theorem equation ($a^{2}+b^{2}=c^{2}$), a and b represent the legs.
c) in the pythagorean theorem equation, c stands for the hypotenuse.
d) the opposite operation of raising a number to the second power ($3^{2}$) is multiplying by 2 dividing by 2 multiplying by 2 taking the square root subtracting 2

Explanation:

• For part a), the Pythagorean Theorem is specifically applicable to right - angled triangles.
• In part b), in the formula \(a^{2}+b^{2}=c^{2}\) of the Pythagorean Theorem, \(a\) and \(b\) are the lengths of the two legs of the right - triangle.
• For part c), in the formula \(a^{2}+b^{2}=c^{2}\), \(c\) represents the length of the hypotenuse (the side opposite the right angle).
• For part d), if \(y = x^{2}\), then \(x=\sqrt{y}\). The operation of raising a number to the second power (\(x^{2}\)) and taking the square root (\(\sqrt{x^{2}}\)) are inverse operations.

Answer:

a) right
b) legs
c) hypotenuse
d) taking the square root