In a triangle ABC,right angled at B, BD is drawn perpendicular to AC. prove that:
(i) angle ABD = angle c
(ii) angle CBD = angle A

  1. 👍
  2. 👎
  3. 👁
  1. (i) ABD is the complement of A.
    C is also the complement of A
    Therefore ABD = C

    CBD is the complement of C
    A is the complement of C.
    Therefore CBD = A

    It will be easier to see if you draw the figure. B, ADB and BDC are right angles.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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

  2. Math

    1. Which of the following best describes the altitude of a triangle? A) A segment perpendicular to a side of the triangle. B) A segment that passes through the midpoint and is perpendicular to a side of a triangle. C) A segment

  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. Trigonometry

    Triangle ABC is a right triangle with right angle at C. CD is perpendicular to AB. BC=4 and CD=1. find the area of the triangle ABC.

  1. HELP!!!!RIGHT NOW!!!!

    Which set of side lengths shows similar triangles? (1 points) A) Triangle ABC : 40, 20, 50; Triangle XYZ: 10, 4, 8 B) Triangle ABC : 30, 20, 60; Triangle XYZ: 40, 60, 90 C) Triangle ABC : 110, 80, 60; Triangle XYZ: 6, 8, 5.5 D)

  2. Math

    Suppose line GH is congruent to line JK, line HE is congruent to line KL, and angle 1 is congruent to angle L. Can you prove that triangle GHI is congrunet to triangke JKL, abd if so, how? A. You can use SAS to prove the triangles

  3. math

    he vertices of triangle ABC are A(​-2,5) ​,B(-2,3), and C(-5,3). Triangle ABC is reflected across the​ x-axis to produce the image ​triangle A''B''C''. Graph triangle ABC and triangle A''B''C''. Which graph shows triangle

  4. mathematics

    in triangle abc if acosA= bcosB then how to prove the triangle is isosceles or right angled

  1. math

    In a triangle ABC,right angled at B, BD is drawn perpendicular to AC. prove that: (i) angle ABD = angle c (ii) angle CBD = angle A

  2. solid mensuration

    how to solve ABC is a right triangle with C as the right angle and sides AC=6 cm and BC=8 cm. Line segment CD is drawn perpendicular to both AC and BC at C. If CD=12 cm, find the distance from D to midpoint E of AB.

  3. Geometry

    Please answer at least one . PLEASE 1. Triangle XYZ has a right angle at Y. V,W are on XZ such that XV=XY. WZ=YZ, find ANGLE VYW . 2. STUVWXYZ is a regular octagon. Find SW/ TZ. 3. The interior angles of a convex polygon form an

  4. Math

    The diagram Shows a right-angled triangle abc in which ab =12 cm and Ac=15 cm Show that the length of bc is 9 cm

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