How can you prove a triangle is a right triangle?

use the distance formula to see if at least two sides are congruent.
use the slope formula to see if any sides are perpendicular.
use the distance formula to see if all three sides are congruent.
use the slope formula to see if any sides are parallel.

Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?

Point a is located at (0, 4), and point c is located at (−3, 5). find the x value for the point b that is located one fourth the distance from point a to point c. −0.25 −0.5 −0.75 −1

If i have a 24 in loaf of bread and i cut it into two pieces one 9 in how long was the other