Question

What is the length of one leg of a right triangle if the length of the hypotenuse is 25 units and the length of the other leg is 15 units ?

Answer 1

`\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies √(c^2-a^2)=b \qquad \begin{cases} c=\stackrel{hypotenuse}{25}\\ a=\stackrel{adjacent}{15}\\ b=opposite\\ \end{cases} \\\\\\ √(25^2-15^2)=b\implies √(400)=b\implies 20=b`