The base of the triangle is 17. The other two sides are integers and one of the sides is twice as long as the other. What is the longest possible length of the side of the triangle.

  1. 👍
  2. 👎
  3. 👁
  1. shorter of the other sides --- x
    longer of the other sides ---- 2x

    To be a triangle the sum of any two sides must be greater than the third side

    x+2x > 17 AND x+17>2x AND 2x+17>x
    3x > 17 AND x < 17 AND x > -17
    x > 17/3 AND x < 17
    (x is between 5.666.. and 17)

    the largest value of x we could have is 16
    so the largest side can be 32

    triangle is 16 by 17 by 32

    is 16+17>32 ? yes
    is 16+32>17 ? yes
    is 32+17>16 ? yes

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math (please help!!)

    Which of the statements about the picture below is true? Choose 3. postimg(.)org/image/qb71bjkjh/f11870c4/ A. F is the circumcenter of the triangle

  2. algebra

    The figures in the pair are similar. Find the missing length. The image is of two proportionate isosceles triangles with vertical bases. One triangle has its base marked as 6 cm and two sides as 4 cm and 4 cm respectively. The

  3. algebra

    This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 can be used to find the side lengths. If one

  4. pre calculus

    The base of an Isosceles triangle is half as long as the two equal sides. Write the area of the triangle as a function of the length of the base. the answer is: A=a^2times the square root of 15 ------------------------------ 4 How

  1. Math

    the distance between any two bases on a baseball diamond is 90 feet.What is the best approximation for the direct distance from home plate to second base? A baseball diamond's four bases form a square with 90 foot sides. A right

  2. math

    One leg of a right triangle has a length of 15 m. The other sides have lengths that are consecutive integers. Find the number of meters in the perimeter.

  3. algebra

    The following identity can be used to find Pythagorean triples, where the expressions x2−y2, 2xy, and x2+y2 represent the lengths of three sides of a right triangle; x and y are positive integers; and x>y.

  4. Geometry

    An isosceles right triangle has an area of 98cm squared. Find the length of each leg. The formula of finding the area of a triangle with one right angle is: (b x h)/2 You know that an isoceles triangles has two equal sides. Those

  1. math

    if three sides of a triangle are 6cm ,8cm and 10cm then find the altitude of the triangle using the largest side as base.... really need help with this question

  2. Algebra

    The length of the sides of a triangle are three consecutive even integers. The perimeter of the triangle is 36 in. What is the length of the longest side of the triangle?

  3. Calculus

    An isosceles triangle has a vertex at the origin. Determine the area of the largest such triangle that is bound by the function x^2 + 6y = 48. So, y=8 when x=0 making a vertical side equal to 8. I also determined that there is a

  4. geometry

    The perimeter of an isosceles triangle is 42 cm . its base is 2/3 times the sum of the equal sides . find the length of each side and the area of the triangle.

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