For this case, by definition, we have that the Pythagorean theorem is given by:
[tex]c ^ 2 = a ^ 2 + b ^ 2[/tex]
Where,
c: length of the hypotenuse
a, b: lengths of the sides of the triangle
Therefore, applying the Pythagorean theorem for the triangle of the figure, we have:
[tex](BC) ^ 2 = 10 ^ 2 + 30 ^ 2[/tex]
Answer:
The equation for the length of BC is:
[tex](BC) ^ 2 = 10 ^ 2 + 30 ^ 2[/tex]
option C.
