Question

What is the value of x?2445°X=(Simplify your answer. Type an exact answer, using radicals as needed.)

Answer 1

Given the figure of a right-angle triangle

As shown, the given triangle is a 45-45-90 triangle

The relation between the hypotenuse (h) and the length of one leg (l) is as follows:

`h=(√(2))l`

As shown, h = 24, and l = x

`\begin{gathered} 24=√(2)*x \\ \\ x=(24)/(√(2))*(√(2))/(√(2))=(24√(2))/(2)=12√(2) \end{gathered}`

So, the answer will be:

`x=12√(2)`