Post a New Question


posted by .

in an equilateral triangle RST, R has coordinates (0.0)and T has coordinate of (2a,0).Find the coordinates of S in terms of a.

  • geometry -

    By symmetry, S must lie on the vertical line x=a.
    Let the coordinates of S be (a,y).
    Since the length of one side of the triangle is (2a-0)=2a, we can calculate the distance of (a,y) to (0,0) and equate to 2a accordingly.

    Using Pythagoras theorem,
    Solving for y:

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. algebra

    1).Map. On a map, the coordinates of the corners of a town are A(0.5),B(2,3.5), C(5,1.5), and D(3,1) The map is dilated so that the perimeter of the town is five times its original perimeter. Find the coordinates of C. a. (25,7.5) …
  2. geometry

    place each given figure in a coordinate plane. what are the coordinates of each vertex?
  3. algebra

    graph triangle rst with vertices r(-1,3),s(4,-2), t(2,-5) Draw the image triangle r's't' formed by rotating triangle rst 90 degree, 180 degrees, and 270 degrees about the origin. Give the coordinates of r',s', and t'.
  4. geometry

    Triangle PQR has vertices P(1,2), Q(25,2) and R(10,20). Find the coordinates of the centroid. Find the coordinates of the circumcenter. Find the coordinates of the orthocenter. Find the equation of the line.
  5. geometry

    The coordinates of the vertices of a triangle are A(1,3), B(6,10), and C(11,18). Find the perimeter of the triangle when the coordinates are multiplied by 3.
  6. Geometry

    Suppose the coordinate of P is 2, PQ = 8, and PR = 12. What are the possible coordinates of the midpoint of the given segment?
  7. geometry

    the coordinate of p are (-2,5) and the coordinates of q are (6,1). a.what is the slope of pq?
  8. geometry

    The coordinates of the vertices of triangle CDE are C(1,4), D(3,6), and E(7,4). If the triangle is reflected over the line y=3, what are the coordinates of the image of D?
  9. Algebra hw, coordinates!! help!!

    Triangle ABC has coordinates A(1, 4); B(3, –2); and C(4, 2). Find the coordinates of the image A'B'C' after a reflection over the x-axis.
  10. Math Urgent Please Help

    Which coordinates could be the vertices of a triangle similar to triangle RST?

More Similar Questions

Post a New Question