Answer:
Let E = Euclid Elementary School
M = Math Middle School
H = Hypotenuse High School
E(-4, 1), M(1, 1), H(-4, -3)
a) EM = 1 - (-4) = 5 miles
b) EH = 1 - (-3) = 4 miles
c) MH = √((1 - (-4))² + (1 - (-3))²)
= √(5² + 4²) = √(25 + 16) = √41
= about 6.4 miles
d) Deon: HE + EM = 5 + 4 = 9 miles
Kaya: HM = about 6.4 miles
Kaya went the shortest distance
because the coordinates of the
three schools are the vertices of a
right triangle. MH is the
hypotenuse, and EM and EH are
the legs.