geometry

posted by .

the length of the median drawn to the hypotenuse of a right triangle is represented by 3x-7, while the hypotenuse is represented by 5x-4. Find the length of the median.

  • geometry -

    If you do not know Thale's Theorem then look it up.
    Briefly a right triangle can be inscribed in a circle with the hypotenuse as a diameter and therefore the middle of the hypotenuse as a radius. Then the right angle is also on the circle at the same distance from the center of the circle.
    Thus
    radius = 3x-7 = (5x-4)/2

    6 x - 14 = 5 x - 4
    x = 10
    3x-7 = 23

  • geometry -

    http://en.wikipedia.org/wiki/Thales%27_theorem

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math/geometry

    complete the statements: To find the length of the hypotenuse of a 45-45-90 triangle, multiply the length of one of the legs by:?
  2. Geometry

    In right triangle ABC, the median to the hypotenuse has length 15 units and the altitude to the hypotenuse has length 12 units. What is the legth of the shorter leg of triangle ABC?
  3. Math

    In a right triangle, if the median from the right angle to the hypotenuse is 5 in. what is the length of the hypotenuse?
  4. Math

    In a right triangle, if the median from the right angle to the hypotenuse is 5 in. what is the length of the hypotenuse?
  5. 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?
  6. Math

    1) The hypotenuse of an isosceles right triangle is 8 cm longer than either of its legs. Note that an isosceles right triangle is a right triangle whose legs are the same length. Find the exact length of its legs and its hypotenuse. …
  7. Geometry

    The length of a hypotenuse of a right triangle is 29 feet. The Altitude drawn perpendicular to the hypotenuse is 10 feet. What are the lengths of the two legs?
  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

    Theres a right triangle. its hypotenuse is 30. There is a line in the triangle making a smaller one. this breaks the hypotenuse to 24 and 6. I need to find the length of the other sides If i can figure out how to post a picture i will.
  10. ENGINEERING GRAPHICS

    construct a right angled triangle MNO ,having hypotenuse ON = 65 mm and the median from the angular point O, making the angle ODN with the hypotenuse = 40 degree.

More Similar Questions