Post a New Question

maths

posted by .

We can cut a square diagonally in half to get two triangles. Suppose the
perimeter of the square is 3cm longer than the perimeter of a resulting triangle.
What is the perimeter of the square?

  • maths -

    Let a-the side of the square, then
    sqrt(a^2+a^2)=a*sqrt(2)-diagonal.
    On the condition of the problem
    4a=2a+a*sqrt(2)+3
    a(2-sqrt(2))=3
    a=3/(2-sqrt(2))=3(2+sqrt(2))/2
    The perimeter of the square=4a=6(2+sqrt(2))=20.49cm

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. 2nd grade math

    If you have a rectangle with 24 square units 3 lines down 8 across how can you have a 4 unit rectangle with a perimeter of 8 around the outside also 6 units with a perimeter of 10 in a seprate problem A square of 4, perimeter of 8. …
  2. Algebra

    The perimeter of an equilateral triangle is 7 in. more than the perimeter of a square. The side of the triangle is 5 in. longer than the side of the square. Find the length of each side of the triangle. (Note: An equilateral triangle …
  3. math

    square x has an area of 100 square units. Square Y has a perimeter that is half of the perimeter of square x. What is the area of square y?
  4. Math grade 8 (algebra)

    The perimeter of the square is 2cm longer than the perimeter of the triangle.Write an equation for the perimeter of the square and then determine the length of each side of the square. Thank you in advance.
  5. Math

    In the accompanying diagram, the perimeter of isosceles triangle MNO is equal to the perimeter of square ABCD. If the sides of the triangle are represented by 4x+4 , 5x-3, 17 and one side of the square is represented by 3x, find the …
  6. Algebra-Perimeter

    The side of a square is 4cm longer than the side of an equilateral triangle. The perimeter of the square is 28cm longer than the perimeter of the triangle. Find the length of the sides of the triangle and the sides of the square.
  7. Algebra

    A square and an equilateral triangle have the same perimeter.Each side of the triangle is 5 inches longer than each side of the square. What is the perimeter of the square.
  8. algebra

    the perimeter of the small square is equal to one-half the perimeter of the large square, write and solve the an algebric equation to determine what the side lengths of the square are. small square is x large square is x+2
  9. math

    the perimeter of two square are 848cm and 436cm find the perimeter of square whose area is equal to the sum of areas of two square.
  10. Math

    if you fold a square paper vertically, the new rectangle has a perimeter of 39cm. what is the area of the original square?

More Similar Questions

Post a New Question