Geometry

In the diagram below of right triangle ACB, altitude CD intersects AB at D. If AD=3 and DB=4, find the length of CD in simplest radical form.

How do I go about figuring out this problem?
Please help. thanks

  1. 👍
  2. 👎
  3. 👁
  1. Which side is the hypotenuse? We can't see your "figure below".

    1. 👍
    2. 👎
  2. The hypotenuse is side AB, or side ADB. The altitude goes from the vertex angle C down to point D, which is between A and B.

    1. 👍
    2. 👎
  3. let x be the angle ACD, part of the right angle at C. 90-x is then angle DCB.

    You know that
    CD tan x = 3 and
    CD tan (90-x) = CD cot x = 4
    Divide one equation by the other and the CD cancels out
    tanx/cotx = tan^2 x = 3/4
    tanx = (sqrt3)/2

    CD = 3/tanx = 3*2/(sqrt3) = 2 sqrt3

    1. 👍
    2. 👎
  4. drwls your answer seems very confusing isnt there a simpiler way to solve this????

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Geometry

    Two similar triangles have a scale factor of 3 : 5. The altitude of the larger triangle is 24 inches. What is the altitude of the smaller triangle?

  2. Math

    Which congruence statement says the same thing as triangle ABC is congruent to triangle DEF? (1 point) triangle ABC is congruent to triangle EFD triangle ACB is congruent to triangle DEF triangle ACB is congruent to triangle

  3. geometry

    in the accompanying diagram, RST is a right triangle, SU is the altitude to hypotenuse RT, RT=16 and RU=7

  4. geometry

    In the diagram below, the length of the legs AC and BC of right triangle ABC are 6cm and 8cm, respectively.Altitude CD is drawm to the hypotenuse of triangle ABC. what is the lenght of AD to the nearest tenth of a centimeter?

  1. GEOMETRY

    Find the exact length of the altitude drawn to the hypotenuse. Do not round. The triangle is not drawn to scale. A triangle with base measures of 9 & 17. Draw a diagram. Using similar triangles, we know that h/9 = 17/ã370 I

  2. math 6th grade

    A diagram with several lines is shown.A diagram with several lines is shown. There are two diagonal lines that appear to be parallel. The line on the left is labeled line b. Crossing through these two lines are two horizontal

  3. Geometry

    Which statement is true? A. The altitude drawn to the leg of a right triangle forms two triangles that are similar to each other and to the given triangle. B. The altitude drawn to the hypotenuse of a right triangle forms two

  4. geometry

    In the accompanying diagram, triangle ABCis similar to triangle DEF, AC = 6, AB = BC = 12, and DF = 8. Find the perimeter of triangle DEF. it an isoslese triangle 6 and 8 are both base my work 6+2=8 12+2=14 2(14)+6=p 24+6=28 I

  1. math

    In the diagram, transversal GH intersects parallel lines AB amd CD. m

  2. Math

    Someone please help,I have to sleep just 2 questions idk how to do 6. The diagram shows the cross section of a cylindrical pipe with water lying in the bottom. (Since I can't post picture here) The diagram: ◒ a) If the maximum

  3. Algebra

    In △ABC, m∠ACB=90°, m∠ACD=60°, CD is the altitude to AB , and BD = 5 cm. Find AD. (A) 6cm (B) 15cm (C) 20cm (D) 25cm

  4. geometry

    The altitude upon the hypotenuse of a right triangle divides the hypotnuse into segments of 3 and 12. find the length of the altitude

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