Answer:
57.59cm
Step-by-step explanation:
Use the Pythagorean theorem to calculate the hypotenuse from right triangle sides. Take a square root of sum of squares:
c = √(a² + b²)
Right triangle with law of sines formulas. a over sin(α) equals b over sin(β) equals c, because sin(90°) = 1
Given angle and one leg
c = a / sin(α) = b / sin(β), from the law of sines
Given area and one leg
As area of a right triangle is equal to a * b / 2, then
c = √(a² + b²) = √(a² + (area * 2 / a)²) = √((area * 2 / b)² + b²)
