what is the value of x in simplest radical form?\n$x=\\square$\n(simplify your answer. type an exact answer…
what is the value of x in simplest radical form?\n$x=\\square$\n(simplify your answer. type an exact answer, using radicals as needed.)
Answer
Explanation:
Step1: Apply Pythagorean theorem
For a right triangle, $a^2 + b^2 = c^2$, where $c$ is the hypotenuse $x$, $a=24$, $b=7$. $$24^2 + 7^2 = x^2$$
Step2: Calculate squared terms
Compute the squares of the legs. $$576 + 49 = x^2$$
Step3: Sum and solve for x
Add the values, then take the square root. $$625 = x^2 \implies x = \sqrt{625} = 25$$
Answer:
25