Question

Name the type of triangle formed by points A(0,4) B(3,0) and C(0,0)

Answer 1

right angled triangle .

Answer 2

AB=√(0-3)²+(4-0)²=√(9+16)=√25=5
BC=√(3-0)²+(0-0)²=√(9)=3
AC=√(0-0)²+(4-0)²=√16=4

AB²=5²=25
BC²+AC²=3²+4²=9+16=25
AB²=AC²+BC²

so the triangle formed will be a right angled triangle.