Question

Find the length of the leg x. enter the exact value, not a decimal approximation x1210x=

Answer 1

We can solve for the value of x using pythagorean theorem

$c^2=a^2+b^2$

where c is the hypotenuse ( in this case is 15) and a, b are the other legs of the triangle ( in this case is 8 and x).

Let's substitute the given values to the formula

$\begin{gathered} c^2=a^2+b^2 \\ 15^2=8^2+x^2 \\ 225=64+x^2 \\ x^2=225-64 \\ x^2=161 \\ x=12.69 \end{gathered}$

Now please follow this solution to solve for x in: