Question

what does the formula ( a^{2}+b^{2}=c^{2} ) represent?
a. perimeter of a rectangle
b. circumference of a circle
c. area of a circle
d. pythagorean theorem

Explanation:

The Pythagorean Theorem states that in a right - angled triangle, the sum of the squares of the two legs ($a$ and $b$) is equal to the square of the hypotenuse ($c$), which is expressed as $a^{2}+b^{2}=c^{2}$.

• The perimeter of a rectangle is $P = 2(l + w)$ (where $l$ is length and $w$ is width).
• The circumference of a circle is $C=2\pi r$ or $C=\pi d$ ($r$ is radius, $d$ is diameter).
• The area of a circle is $A=\pi r^{2}$.

Answer:

d. Pythagorean Theorem