Find the length of the unknown side of a right triangle with legs a and b and hypotenuse c. Round to the nearest thousandth, if necessary.
-b = 19, c = 24
A) a = 14.318
B) a = 557
C) a = 14.663
D) a = 30.61

Question

Quizplus · Accepted Answer

To find the length of the unknown side $a$ in a right triangle with legs $a$ and $b$, and hypotenuse $c$, you can use the Pythagorean theorem: $a^2 + b^2 = c^2$. Given $b = 19$ and $c = 24$, you can solve for $a$ as follows: $a^2 = c^2 - b^2 = 24^2 - 19^2 = 576 - 361 = 215$. Taking the square root of both sides gives $a = \sqrt{215} \approx 14.663$.

Find the Length of the Unknown Side of a Right