Answer:
[tex]\Huge\boxed{b=21}[/tex]
Step-by-step explanation:
Pythagorean Theorem:
[tex]a^2+b^2=c^2[/tex]
where a and b = legs and c = hypotenuse
we are given a leg and the hypotenuse so we plug in what we have into the formula
[tex]20^2+b^2=29^2[/tex]
now we solve for b
step 1 subtract 20^2 from each side
[tex]b^2=29^2-20^2\\29^2=841\\2-^2=400\\841-400=441\\441=b^2[/tex]
finally we want to get rid of the exponent on the b
to do so we take the square root of each side
[tex]\sqrt{441} =\sqrt{b^2} \\\sqrt{441} =21\\\sqrt{b^2} =b[/tex]
we're left with b = 21
Note: They Pythagorean theorem only works with right triangles
