Answer :

bchow

The answer is 10 because 24 times 24 is 576 and that plus 100 is 676 and this number squared is 26.  26 is the hypotenuse.

b = 10 is the length of leg y of the right triangle.

Length of the hypotenuse

If a and b are the lengths of the legs of a right-angled triangle and c exists the length of the hypotenuse, then the sum of the squares of the lengths of the legs exists equivalent to the square of the length of the hypotenuse.

Then, the formula exists as

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

By substituting the value of a, b and c, then we get

[tex]24^2+b^2=26^2[/tex]

b exists missing because we only have one leg

Now consider, [tex]24^2=576[/tex]

[tex]26^2=676[/tex]

[tex]576+b^2=676[/tex]

now we remove 676 by 576=100

and it will be [tex]b^2=100[/tex]

We square root both sides of the equation then we get

b = 10.

Therefore, the correct answer is b = 10.

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