Answer:
24 mm
Step-by-step explanation:
Since it is a right triangle, we can use Pythagorean theorem
[tex]a^2+b^2=c^2[/tex]
where a and b are the legs, and c is the hypotenuse.
We know one of the legs is 10, and the hypotenuse is 26, so we can substitute 10 in for a, and 26 in for c.
[tex]10^2+b^2=26^2[/tex]
Solve the exponents
[tex]100+b^2=676[/tex]
Now, solve for b. To do this, get b by itself.
First, subtract 100 from both sides
[tex]100-100+b^2=676-100[/tex]
[tex]b^2=576[/tex]
Take the square root of both sides
[tex]\sqrt{b^2}=\sqrt{576}[/tex]
b=24
So, the other leg is 24 mm
