Solve.
-Approximate to the nearest thousandth of a centimeter the length of the hypotenuse of a right triangle with legs of 4 centimeters each.
A)5.657 cm
B)2.828 cm
C)4 cm
D)4.123 cm

Question

Quizplus · Accepted Answer

The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, $a^2 + b^2 = c^2$, where $a$ and $b$ are the lengths of the legs, and $c$ is the length of the hypotenuse. For legs of 4 cm each, $4^2 + 4^2 = c^2$, which simplifies to $16 + 16 = 32$, so $c^2 = 32$. Taking the square root of both sides gives $c = \sqrt{32}$, which is approximately 5.657 to the nearest thousandth of a centimeter.

Solve. -Approximate to the Nearest Thousandth of a Centimeter the Length