A triangle has a 13-inch side, a 14-inch side, and a 15-inch side. To the nearest tenth
of an inch, how long is the median drawn to the 14-inch side?

  1. 👍
  2. 👎
  3. 👁
  1. I just got the answer 14 is that right? I formed a parallelogram and added the vector lengths and multiplied it by 1/2.

    1. 👍
    2. 👎
  2. Nope. You have ignored the triangle inequality.

    From the law of cosines, the angle ? between the 13 and 15 sides is

    14^2 = 13^2+15^2-2*13*15 cos?
    ? = 59.5°

    So, if we let the short side be

    u = 13i

    The 15" side is

    v = 7.62i + 12.92j

    The median m is then

    m = (u+v)/2 = (20.62i + 12.92j)/2
    = 10.31i + 6.47j
    |m| = 12.17

    Or, use the handy formula found here:

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Shawna reduced the size of a rectangle to a height of 2 inch. What is the new width if it was originally 24 inch wide and 12 inch Tall?

  2. Calculus

    1) A rectangular page is to contain 16 square inches of print. The page has to have a 2-inch margin on top and at the bottom and a 2-inch margin on each side. Find the dimensions of the page that minimize the amount of paper used.

  3. Calculus

    A rectangular page is to contain 72 square inches of print. The page has to have a 4 inch margin on top and at the bottom and a 2 inch margin on each side. Find the dimensions of the page that minimize the amount of paper used.

  4. geometry

    An isosceles triangle has two 10.0-inch sides and a 2w-inch side. Find the radius of the inscribed circle of this triangle, in the cases w = 5.00, w = 6.00, and w = 8.00. Then Write an expression for the inscribed radius r in

  1. Calculus

    Equal squares of side length x are removed from each corner of a 20 inch by 30 inch piece of cardboard, and the sides are turned up to form a box with no top. Write the volume V of the box as a function of x.

  2. geometry

    A triangle has a 56-degree angle, formed by a 10-inch side and an x-inch side. Given that the area of the triangle is 18 square inches, find x.

  3. geometry

    An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 5 cm long. A second side of the triangle is 6.9 cm long. Find the longest and shortest possible lengths of the third side of the

  4. IRSC

    the sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that 17 inches and a second side that is 1 inch less than twice the thrid side, what are the possible lengths

  1. Math

    A typist uses lengthwise a sheet of paper 9 inches by 12 inches. She leaves a 1 inch margin on each side and a 1 1/2 inch margin on top and bottom. What fractional part of the page is used for typing?

  2. math

    An equilateral triangle is inscribed in a circle. The radius of the circle is 21 in. Determine the side length of the triangle to the nearest 10th of an inch

  3. geometry

    Find the third side of a triangle in which a 4.00-inch side and a 6.00-inch side are known to make a 56.0-degree angle. Round your answer to three significant digits.

  4. geometry (check answers)

    Determine whether you can construct many, one, or no triangle(s) with the given description. a) a triangle with angle measures of 50°, 70°, and 100° no b) a triangle with one angle measure of 60° and one 4-centimeter side no

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