math

The coordinates of (triangle) ABC are A(-3,-1 ) , B( 5,1 ) and C (2,4)

(i) Calculate the length of AB , BC and AC
(ii) Hence, show that (triangle) is a right- angled triangle

  1. 👍 0
  2. 👎 0
  3. 👁 260
  1. AB^2 = 64 + 4 = 68

    BC^2 = 9 + 9 = 18

    AC^2 = 25 + 25 = 50

    Note that 68 = 50 + 18
    therefore a right triangle

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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.

  2. Alegebra

    Triangle ABC is dilated with a center at the origin and a scale factor of 2. (Picture showing the coordinates A(-2,2) B(1,3) C(1,0) What are the coordinates of triangle ABC? Also, please don't give me the answer but can someone

  3. Math

    Triangle ABC has vertices A (-4,-2), B (-1,3), and C (5,0). Triangle ABC is rotated 180 degrees counterclockwise about the origin to form triangle A'B'C'. a. what are the coordinates of the vertices of triangle A'B'C'? b. How

  4. math

    Triangle ABC below is reflected across the y-axis and then translated 1 unit right and 2 units down. A)Write the coordinated of the vertices of the image after reflection. B)Write a rule for the translation. Use arrow rotation.

  1. Math

    Logan drew Δ ABC on the coordinate plane, and then reflected the triangle over the y-axis to form Δ A'B'C'. Which statement is not true about these two triangles? A.Δ ABC≅Δ A'B'C' B. The two triangles have the same angle

  2. Geometry

    Let ABC be any triangle. Equilateral triangles BCX, ACY, and BAZ are constructed such that none of these triangles overlaps triangle ABC. a) Draw a triangle ABC and then sketch the remainder of the figure. It will help if

  3. maths-urgently needed

    In right angled triangle ABC angle B=90 degree and AB= root 34 unit. The coordinates of point B and Care (4,2)and (-1,y) respectively. If area of triangle ABC = 17 sq.units, then find value of y.

  4. Math

    Triangle ABC is reflected over the y-axis what are the coordinates of the reflected triangle describe in words what happens to the x coordinates and the y coordinates of the original triangle's vertices as a result of this

  1. math

    Triangle ABC undergoes a series of transformations to result in triangle DEF. Is triangle DEF congruent to triangle ABC ? Is it Congruent or Not congruent? 1.)) Triangle ABC is translated 3 units up and 5 units right, and then

  2. MATH

    A. triangle ABC is reflected over the y- axis. What are the coordinates of the reflected triangle? B. Describe in words what happens to the x- coordinates and y- coordinates of the original triangle's vertices as a result of this

  3. geometry

    1. Triangle ABC has a 63.0-degree angle at B, and side AC is 13.6 cm long. What is the diameter of the circle circumscribed about ABC? 2. And: Given any triangle ABC, with sides a, b, and c opposite angles A, B, and C,

  4. geometry

    The coordinates of point A on triangle ABC are (2, -4). What would be the image of point A after triangle ABC is reflected over the y-axis andthen rotated about the origin 180 degree?

You can view more similar questions or ask a new question.