An isosceles triangle is a triangle that has two equal sides. Find AB, BC and AC. Determine if the triangle is

Question

An isosceles triangle is a triangle that has two equal sides. Find AB, BC and AC. Determine if the triangle is isosceles or not based on the lengths of the three sides. Show work.

B 1,5

C 5,3

A 1,1

How would I solve this?

Answer 1

The formula of finding the distance between two points on a Cartesian plane would be √((x1-x2)^2+(y1-y2)^2)

BC would be √((5-1)^2+(3-5)^2)=√(4^2+2^2)
=√(20)=2√(5)
CA would be √((5-1)^2+(3-1)^2)=√(4^2+2^2)
=√(20)=2√(5)
AC would be √((1-1)^2+(5-1)^2)=√(0^2+4^2)
=√(16)=4

The sides of BC and CA are the same. Therefore prooved^^
It's easy if you start by drawing a Cartesian plane and pointing the dots on the paper.

Answer 2

You would do (1,5) (5,3). Then (5,3) (1,1) and so on . This is one of the easiest problems ever. Hope I could help!