Answer:
x=5.74
Explanation:
We can use the Pythagorean theorem to solve for the missing side of a right triangle, where "a" and "c" are the lengths of the two legs, and "b" is the length of the hypotenuse. The theorem states that:
a^2 + b^2 = c^2
We can substitute the values given in the problem to get:
4^2 + b^2 = 7^2
Simplifying:
16 + b^2 = 49
Subtracting 16 from both sides:
b^2 = 33
Taking the square root of both sides (and discarding the negative root because we're dealing with a length), we get:
b = sqrt(33)
So, if a = 4 and c = 7, then b = sqrt(33) (approximately 5.74).