Question

use the pythagorean theorem quick check
if a right triangle has legs that are both 12 cm long, how long is the hypotenuse? round the
answer to the nearest hundredth. (1 point)
17.0
16.97
198
not enough information is given to solve the problem

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a = 12\), \(b = 12\), \(c^{2}=a^{2}+b^{2}\). So \(c^{2}=12^{2}+12^{2}\).

Step2: Calculate \(a^{2}+b^{2}\)

\(12^{2}+12^{2}=144 + 144=288\).

Step3: Find \(c\)

\(c=\sqrt{288}\approx16.97\) (rounded to the nearest hundredth).

Answer:

16.97