Answer:
24
Step-by-step explanation:
You can use the Pythagorean Theorem to solve this:
[tex]a^{2} + b^{2} = c^{2}[/tex]
The legs of the triangle are put into either a or b and the hypotenuse is put into c. In this case, they've already given you the hypotenuse, but now you need to find the leg:
[tex]45^{2} + b^{2} = 51^{2}[/tex]
2025 + [tex]b^{2}[/tex] = 2601
Subtract 2025 from both sides:
2025 + [tex]b^{2}[/tex] = 2601
-2025 -2025
_____________
[tex]b^{2}[/tex] = 576
Square root:
[tex]\sqrt{b^{2} } = \sqrt{576}[/tex]
b = 24
