given points A(0,0), B(4,8) and the vertices of triangle ABC. show that triangle ABC is an isosceles triangle
find the coordinates of D, the midpoint of the base.
show that line CD i perpendicular to line AB

Question

given points A(0,0), B(4,8) and the vertices of triangle ABC. show that triangle ABC is an isosceles triangle
find the coordinates of D, the midpoint of the base.
show that line CD i perpendicular to line AB

amorfide · Answer

you want to use the equation of the length of a line joining two points for AB and BC to show that they are equal

$$d=\sqrt{(x _{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$$

amorfide · Answer

where d is the length of the line

amorfide · Answer

the base will be the mid point of the coordinates representing A and C

and to show a line is perpendicular, the two lines intersect at right angles to each other

with a gradient of the lines being the negative reciprocal of each other

anonymous · Answer

Thank you! I'm sorry I haven't replied sooner, I found out by texting my teacher. Thank you so much for your advice.

amorfide · Answer

np hope math is going well for you