Answer:
b = 24
Step-by-step explanation:
you are going to use the pythagorean theorem. [tex]a^{2} + b^{2} =c^{2}[/tex] you know b (a short side) and c (the hypotenuse), so fill those values in and change the variable to match that of the problem. [tex]b^{2} + 10^{2} = 26^{2}[/tex] so now you are going to solve these. [tex]b^{2} + 100 = 676[/tex]. now you subtract 100 from both sides to get b on one side and the numbers on the other. [tex]b^{2} = 576[/tex]. now take the square root of both sides because you want just b. [tex]\sqrt{b^{2} } = \sqrt{576}[/tex]. which equals b= 24. that's how you get the answer.