SOLUTION: if A(1,5), B(3,-2), and C(-3,0), find the measure of the sides of triangle ABC. Then classify the triangle by it's sides.

Algebra ->  Triangles -> SOLUTION: if A(1,5), B(3,-2), and C(-3,0), find the measure of the sides of triangle ABC. Then classify the triangle by it's sides.      Log On


   

Question 19208: if A(1,5), B(3,-2), and C(-3,0), find the measure of the sides of triangle ABC. Then classify the triangle by it's sides.
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
if A(1,5), B(3,-2), and C(-3,0), find the measure of the sides of triangle ABC. Then classify the triangle by it's sides.
distance between 2 points x1,y1 and x2,y2 is given by
sqrt%28%28x2-x1%29%5E2%2B%28y2-y1%29%5E2%29
for ex.for AB , we get
AB=sqrt%28%283-1%29%5E2%2B%28-2-5%29%5E2%29=sqrt%28%282%29%5E2%2B%28-7%29%5E2%29
=sqrt%284%2B49%29=sqrt%2853%29....
AB=sqrt%2853%29...........similarly
BC=sqrt%2840%29...........
CA=sqrt%2841%29...........
we find all sides are different and sum of squares of the 2 smaller sides is less than the square of the biggest side ..so it is a skelene acute angled triangle .