find the length of the third side. if necessary, round to the nearest tenth.\nanswer attempt 1 out of 2

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, (a^{2}+b^{2}=c^{2}). Let the unknown side be (x). Here, (a = 10), (c=24), and we want to find (b). So, (x=\sqrt{c^{2}-a^{2}}).

Step2: Substitute values

Substitute (a = 10) and (c = 24) into the formula: (x=\sqrt{24^{2}-10^{2}}=\sqrt{576 - 100}=\sqrt{476}).

Step3: Calculate the square root

(\sqrt{476}\approx21.8)

Answer:

(21.8)