ANSWER
24
EXPLANATION
We want to find the value of b in the right-angled triangle given.
Because it is a right-angled triangle, we can apply Pythagoras Rule:
[tex]\begin{gathered} c^2=a^2+b^2 \\ \text{where a, b = legs of the triangle} \\ c\text{ = hypotenuse} \end{gathered}[/tex]
Therefore, we have that:
[tex]\begin{gathered} 25^2=7^2+b^2 \\ 625=49+b^2 \\ \Rightarrow b^2=625-49 \\ b^2=576 \\ b\text{ = }\sqrt[]{576} \\ b\text{ = 24} \end{gathered}[/tex]
That is the value of b.
