SOLUTION: Analytic Geometry
1.a) Draw the triangle with vertices P(-2,-2), Q(2,4), and R(8,0).
b) Show algebraically that PQR is a right triangle.
c) Is PQR also an isosceles triangle?
Algebra ->
Quadratic Equations and Parabolas
-> SOLUTION: Analytic Geometry
1.a) Draw the triangle with vertices P(-2,-2), Q(2,4), and R(8,0).
b) Show algebraically that PQR is a right triangle.
c) Is PQR also an isosceles triangle?
Log On
Question 177793: Analytic Geometry
1.a) Draw the triangle with vertices P(-2,-2), Q(2,4), and R(8,0).
b) Show algebraically that PQR is a right triangle.
c) Is PQR also an isosceles triangle?
Use algebraic reasoning to justify your answer.
You can put this solution on YOUR website! a.)
.
.
.
b.) You can use the Pythagoran theorem to check if PQR is a right triangle.
Using the distance formula to calculate line segment lengths,
.
.
.
.
.
.
.
.
.
.
.
.
Since the two sides are equal, the Pythagorean theorem holds and PQR is a right triangle.
.
.
.
c.) The legs of an isoceles triangle are congruent.
Since , then so this right triangle is also an isoceles triangle.
