geometry

posted by .

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

  • geometry -

    let that altitude be x

    Can you see how that altitude splits your right-angled triangle into two smaller right-angled triangles which are similar?
    so you can set up the ratio
    12/x= x/3
    x^2= 36
    x = 6

  • geometry -

    The measure of the altitude drawn from the vertex of the right angle of a right triangle to its hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse.

    Triangle ABC, where A is the vertex, CB is the hypotenuse, and AD is the altitude.

    AD = altitude, CD = 3, DB = 12
    AD/DB = CD/AD
    AD/12 = 3/AD
    (AD)^2 = 36
    AD = (sqrt(3 * 12))
    AD = (sqrt(36))
    AD = 6

  • geometry -

    Thanku sooo much!

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. geometry

    the vertices of triangle ABC are A(1,7)B(9,3)C(3,1) a.prove that the triangle is a right triangle b.which angle is the right angle?
  2. Geometry

    If the length of the altitude of the hypotenuse of a right triangle is 8, and the length of the hypotenuse is 20, what are the lengths of the segments of the hypotenuse?
  3. Geometry

    The legs of a right triangle are 5cm and 12 cm long. Find the lengths, to the nearest tenth, of the segments into which the bisector of the right angle divides the hypotenuse.
  4. Geometry

    The altitude of the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 14 and 8. What is the length of the altitude?
  5. Geometry

    The altitude to the hypotenuse of a right triangle ABC divides the hypotenuse into 12mm and 16mm segments. Find the lengths of each of the following. A. The altitude to the hypotenuse B. The shorter leg of angle ABC C. The longer leg …
  6. Math

    the altitude, AD, to the hypotenuse BC of right triangle ABC divides the hypotenuse into segments that are 8 and 10 cm long. find the length of the altitude.
  7. Math

    the right triangle ABC, the altitude from vertex C divides the hypotenuse into two segments, one of length 2 and the other of length 16. Find the perimeter of triangle ABC.
  8. Geometry

    I need help in this problem: A 14-foot ladder is leaning against a house so that its top touches the top of the wall. the bottom of the ladder is 8 feet away from the wall. which of these can be used to find the height of the wall?
  9. Geometry

    The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments 6 inch and 10 inch long, Find the length h of the altitude.
  10. Geometry/Algebra

    The segments formed by the altitude to the hypotenuse of a right triangle are 8 and 10. Find the shorter leg of that triangle. Help please! I am confused on which formula to use or if I should use the Pythagorean Theorem.

More Similar Questions