A boattravels45mileseast(right)then 60 milesnorth(up),howfarisit from the starting point?​

A boat travels 45 miles east then 60 miles north, how far is it from where it started. Draw this. The hypotenuse of the right triangle is the square root (45^2)+(60^2)=square root of 2025=3600=square root of 5625, or 75 miles.

ok, the boat traveled on 2 lines of a triangle, so use the

Pythagorean Theorem to determine the third side.

75 miles

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)