math

posted by .

the verticies of triangle R(0,12), S(-6,6), and T(4,8). write in slope-intercept form the equations of the lines that contain the segments described.

it says, find the medians of triangle RST.

find the altitudes of triangle RST.

find the perpendicular bisectors of triangle RST.

  • math -

    This is a lengthy question, and it would be unreasonable for you to expect somebody to do it for you.

    I will give you a few hints and steps that you can follow

    Median: - a line from a vertex to the midpoint of the opposite side

    I will do the median from R to side TS
    midpoint of TS = M((-6+4)/2,(8+6)/2) = M(-1,7)
    slope of RM = (7-12)/(-1-0) = 5
    so equation for RM is y = 5x + b
    plug in (-1,7)
    7 = -5 + b
    b = 12 , so equation is y = 5x + 12
    (we could have used 12 directly for b, since (0,12) was the y-inercept)

    Altitude: - a line from a vertex to the opposite side, or the opposite side extended, meeting that side at right angles.

    let's do the altitude from R to ST
    slope of ST = 2/5

    so the slope of the altitude is -5/2
    equation is y = (-5/2)x + b
    (0,12) is on it
    12 = (-5/2)(0) + b
    b = 12
    equation , y = (-5/2)x + 12

    (posting what I have so far, to be continued)

  • math -

    Perpendicular bisector - a line from the midpoint of a line segment, at right angles to it.

    so to find the perpendicular bisector of RS
    1. find the midpoint of RS
    2. find the slope of RS
    3. the slope of the new line will be the negative reciprocal of the slope of RS
    4. now you have the slope of that line and a point on it, find its equation.

    You should have 3 equations for each of your questions, or 9 in total

    I gave you 2 of them, plus the steps for the last type.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    A triangle has vertices X(0,0), Y(4,4), and Z (8,-4). a) Write an equation for each of the three medians b) Recall that the centroid of a triangle is the point of intersection of the medians of the triangle. Use the equations from …
  2. geometry

    is triangle RST with verticies R(-1,5), S(-4,1), T(2,1) a isosceles?
  3. pre-calculus

    triangle KLM has vertices K(0,0), L(18,0), and M(6,12). a. Write equations for the altitudes to the three sides of the triangle. b. Show that the altitudes intersect at a single point O, called the orthocenter of the triangle.
  4. Math

    Triangle RST, RS = 30 centimeters, measure of angle T = 105, and measure of angle R = 40. Find the area of triangle RST, to the nearest square centimeter.
  5. Geometry

    Write an indirect proof that an obtuse triangle does not have a right angle. Given: Triangle RST is an obtuse triangle. Prove: Triangle RST does not have a right angle. Let angle S be an obtuse angle. Assume Triangle RST has a right …
  6. 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'.
  7. geometry

    How do you find the slope-intercept equation of medians of a triangle and perpendicular bisectors of a triangle?
  8. Geometry

    Triangle UVW is the pre-image of triangle RST with a scale factor of 3. Find the area of triangle UVW if the area of triangle RST is 9 cm2.
  9. math (please help)!

    Geometry ***(PLEASE CHECK MY ANSWER)*** 1. If triangle RST = triangle NPQ, which of the following is true?
  10. Geometry

    A dilation scale factor 2 maps triangle RST to R'S'T'. The perimeter of triangle RST is 60. What is the perimeter of triangle R'S'T'?

More Similar Questions