SOLUTION: how that the triangle whose vertice are p(2,-2) Q(-4,-5) and R(8,9) is isosceles

Question 884328: how that the triangle whose vertice are p(2,-2) Q(-4,-5) and R(8,9) is isosceles
Answer by algebrapro18(249) (Show Source): You can put this solution on YOUR website!
Well if your asking if that triangle is isosceles then you need to determine if all three sides are the same length, since for a triangle to be isosceles it needs to have all 3 sides the same length. Which means finding the distance between P and Q, P and R, and Q and R.

To find the distance between two points we use the distance formula which is .

Now lets try finding the distance between P and Q. P(2,-2) and Q(-4,5) from above and now we plug and chug:

=
=
=
=
=

Now lets try finding the distance between P and R. P(2,-2) and R(8,9) so we plug and chug again.

=
=
=
=

Since is not the same as then the triangle is not isosceles.
RELATED QUESTIONS
Triangle pqr has the given vertice classify the triangle by its sides. then determine if (answered by Jk22)
Find the perimeter of the triangle whose vertices are p(6,4) Q(-3,1) and... (answered by MathLover1)
Given the vertices of a triangle are P (3,7), Q(-8,2) and R(-4,-9). Determine the... (answered by greenestamps)
Given the vertices of a triangle are P (3,7), Q(-8,2) and R(-4,-9). Determine the... (answered by mananth)
p varies directly with q and inversely with r when p =2 ,q=10,r=25 a. the fourmular... (answered by MathLover1)
Analytic Geometry 1.a) Draw the triangle with vertices P(-2,-2), Q(2,4), and R(8,0).... (answered by Fombitz)
AB,BC and AC are tangents to circle O at points P,Q and R respectively.The following... (answered by ikleyn)
PQRS is a rectangle in which PQ=10cm and Ps=6cm.T is a point on PQ such that RST is an... (answered by DrBeeee)
Verify that the triangle wiith vertices P(-3,2) Q(2,5) and R(2,-1) is an isosceles... (answered by ikleyn,MathTherapy)