a referee jogs diagonally from one corner of a fifty foot by ninety foot basketball court to the far corner. how far does she jog?

Answer 1

Julieta,

Hi, I would suggest drawing out the basketball court.

The basketball court is 50 feet by 90 feet.

Now draw a diagonal line from one corner to the other corner forming two triangles.

Since the basketball court is a rectangle, then both triangles should be equal or similar.

The formula to find the diagonal line( the hypotenuse of the triangle) is a^{2 +} b² = c²

where a and b are sides of the triangle and c is the diagonal line (hypotenuse)

a=50 b=90 c=?

a^{2 +} b² = c²

50² + 90² = c²

2500 + 8100 = c²

10600 = c²

103 = c²

Answer: 103 feet (rounded to the nearest foot)

I hope this helps.

Please feel free to reach out to me if you still need any clarification.

Thank you,

Richmond