Question

find the length of the third side. if necessary, round to the nearest tenth.
24
26

Explanation:

Step1: Identify triangle type

It's a right - triangle, so use Pythagorean theorem: \(a^{2}+b^{2}=c^{2}\), where \(c\) is hypotenuse, \(a,b\) are legs. Here, \(c = 26\), one leg \(a = 24\), find the other leg \(b\).

Step2: Rearrange formula

\(b=\sqrt{c^{2}-a^{2}}\)

Step3: Substitute values

\(b=\sqrt{26^{2}-24^{2}}=\sqrt{(26 + 24)(26 - 24)}=\sqrt{50\times2}=\sqrt{100}=10\)

Answer:

10