39 points! Draw a right triangle and label the legs 15 cm and 17 cm. Use the Pythagorean theorem to find the length of the
hypotenuse. Show all of your work

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)