A rectangle 2

A rectangle has a diagonal length of 74cm. Its side lengths are in ratio 5:3. Find its side lengths.

Correct answer:

a =  63.4545 cm
b =  38.0727 cm

Step-by-step explanation:

d=74 cm a:b=5:3  d2=a2+b2 b=35a d2=a2+(35a)2  a2=d2/(1+3252)  a=d1+3252=741+3252=63.4545 cm
b=35 a=35 63.454538.0727 cm  k=a/b=63.4545/38.0727=531.6667  d2=a2+b2=63.45452+38.07272=74 cm



Did you find an error or inaccuracy? Feel free to write us. Thank you!



avatar




Tips to related online calculators
Looking for help with calculating roots of a quadratic equation?
Check out our ratio calculator.
Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

 
We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions:

  • Rectangle
    diagonal_rectangle The rectangle has a perimeter 75 cm. Diagonal length is 32.5 cm. Determine the length of the sides.
  • Right triangle
    righttriangle Legs of the right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm. Calculate the perimeter and area of the triangle.
  • Square diagonal
    square_d Calculate the length of the square diagonal if the perimeter is 172 cm.
  • Diagonal of the rectangle
    rectangle Calculate the rectangle's diagonal, which area is 54 centimeters square, and the circuit is equal to 30 cm.
  • ABCD square
    s1 In the ABCD square, the X point lies on the diagonal AC. The length of the XC is three times the length of the AX segment. Point S is the center of the AB side. The length of the AB side is 1 cm. What is the length of the XS segment?
  • The sides
    rectangles The sides of the rectangle are in a ratio of 3: 5 and its circumference measures 72 cm. Calculate: a) the size of both sides of the rectangle b) the area of the rectangle c) the length of the diagonals
  • Rectangle diagonals
    rectangle_diagonals It is given a rectangle with an area of 24 cm2 a circumference of 20 cm. The length of one side is 2 cm larger than the length of the second side. Calculate the length of the diagonal. Length and width are yet expressed in natural numbers.
  • Rectangle
    rectangle There is a rectangle with a length of 12 cm and a diagonal 8 cm longer than the width. Calculate the area of a rectangle.
  • Diamond diagonals
    kosodlznik Find the diamond diagonal's lengths if the area is 156 cm2 and side is 13 cm long.
  • Two diagonals
    rhombus-diagonals The rhombus has a side length of 12 cm and a length of one diagonal of 21 cm. What is the length of the second diagonal?
  • Rectangle 3-4-5
    diagonal_rectangle The sides of the rectangle are in a ratio of 3:4. The length of the rectangle diagonal is 20 cm. Calculate the content of the rectangle.
  • Find the
    described_circle Find the length of the side of the square ABCD, which is described by a circle k with a radius of 10 cm.
  • The diamond
    koso The diamond has an area S = 120 cm2, the ratio of the length of its diagonals is e: f = 5: 12. Find the lengths of the side and the height of this diamond.
  • Right triangle - ratio
    rt_triangle The lengths of the legs of the right triangle ABC are in ratio b = 2: 3. The hypotenuse is 10 cm long. Calculate the lengths of the legs of that triangle.
  • Body diagonal
    kvadr Cuboid with base 7cm x 3,9cm and body diagonal 9cm long. Find the height of the cuboid and the length of the diagonal of the base,
  • Triangle in a square
    stvorec In a square ABCD with side a = 6 cm, point E is the center of side AB, and point F is the center of side BC. Calculate the size of all angles of the triangle DEF and the lengths of its sides.
  • Ratio of sides
    described_circle2 Calculate the area of a circle with the same circumference as the circumference of the rectangle inscribed with a circle with a radius of r 9 cm so that its sides are in ratio 2 to 7.