SOLUTION: Triangle PQR has vertices P(asqrt3,bsqrt3), Q(a/2sqrt3,3bsqrt3), R(0,5bsqrt3). Prove triangle PQR is isosceles.

SOLUTION: Triangle PQR has vertices P(asqrt3,bsqrt3), Q(a/2sqrt3,3bsqrt3), R(0,5bsqrt3). Prove triangle PQR is isosceles.

Algebra.Com

Question 135708: Triangle PQR has vertices P(asqrt3,bsqrt3), Q(a/2sqrt3,3bsqrt3), R(0,5bsqrt3).
Prove triangle PQR is isosceles.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Find the length of each of the sides of the triangle using the distance formula.

If the lengths of any two sides are equal, then the triangle is isoceles by definition. Strictly, you should show that the third side is not equal to the other two.
RELATED QUESTIONS
Use coordinate geometry to prove that triangle PQR is isosceles... ^ | |---------Q... (answered by hovuquocan1997)

The coordinates of the vertices of ∆PQR are P (0,5), Q (5,0), and R (10,5).... (answered by mananth)

Triangle PQR has vertices at the following coordinates: P(0, 1), Q(3, 2), and R(5, -4).... (answered by josgarithmetic)

Analytic Geometry 1.a) Draw the triangle with vertices P(-2,-2), Q(2,4), and R(8,0).... (answered by Fombitz)

The coordinates of the vertices of ∆PQR are P (0,4), Q (4,0), and R (8,4) Determine... (answered by Alan3354,josgarithmetic)

Analytic Geometry 13.a) Draw a triangle with vertices P(-2, -2), Q(2, 4), and R(8, 0).... (answered by vleith)

The vertices of triangle PQR are P(1,3),Q(5,4) and R(5,15).find a)the length of PR b)the... (answered by josgarithmetic)

A triangle, PQR, has P(8, 0), Q(0, −8) and point R is on the line y = x − 2. Find the (answered by math_tutor2020)

Analytic Geometry 13. a) Draw the triangle with vertices P(-2,-2),Q(2,4), and R(8,0). (answered by solver91311)