Respuesta :

We are given a right-angled triangle.

Two of the side lengths are given and the third is missing.

We can us the Pythagorean theorem to find the missing side of the triangle.

[tex]c^2=a^2+b^2[/tex]

Where c is the longest side, a and b are the shorter sides of the triangle.

[tex]\begin{gathered} c^2=a^2+b^2 \\ x^2=7^2+24^2 \\ x^2=49^{}+576 \\ x^2=625 \\ x^{}=\sqrt[]{625} \\ x^{}=25 \end{gathered}[/tex]

Therefore, the missing side of the triangle is 25