apply the Pythagorem theorem to this answer

Question

a2 + b2 = c2
a2 + 12^2 = 14^2

Answer 1

a^2 + 12^2 = 14^2

By the Pythagorean theorem, in a right-angled triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).

In this case, we have:
a^2 + 12^2 = 14^2

To solve for 'a', we can rearrange the equation:
a^2 = 14^2 - 12^2
a^2 = 196 - 144
a^2 = 52

Taking the square root of both sides:
a = √52

Therefore, the side 'a' in the triangle is √52 (or approximately 7.211).