Square diagonal

Calculate the length of diagonal of the square with side a = 11 cm.

Correct answer:

d =  15.56 cm

Step-by-step explanation:

$$\begin{gathered} a=11\text{ cm } \\ {d}^2=a^2+a^2 \\ {d}^2=2a^2 \\ d=\sqrt{2}\cdot a=\sqrt{2}\cdot 11=11\sqrt{2}=15.56\text{ cm} \end{gathered}$$

Try another example

Showing 2 comments:

Math student

Why do you need to do
d squared = a squared + a squared

2 years ago  Like

Dr Math

just  simple Pythagorean therorem

2 years ago  Like

Related math problems and questions:

• Square diagonal
  Calculate the length of the square diagonal if the perimeter is 172 cm.
• ABCD square
  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?
• Diagonals
  Given a rhombus ABCD with a diagonalsl length of 8 cm and 12 cm. Calculate the side length and content of the rhombus.
• Diagonal
  The rectangular ABCD trapeze, whose AD arm is perpendicular to the AB and CD bases, has an area of 15 cm square. Bases have lengths AB = 6cm, CD = 4cm. Calculate the length of the AC diagonal.
• Diagonal of square
  Calculate the side of a square when its diagonal is 10 cm.
• A square
  A square with a length of diagonals 12cm give: a) Calculate the area of a square b) rhombus with the same area as the square, has one diagonal with a length of 16 cm. Calculate the length of the other diagonal.
• Calculate
  Calculate the length of the wall diagonal of the cube with an edge 5 cm long.
• Calculate
  Calculate the length of a side of the equilateral triangle with an area of 50cm².
• Find the
  Find the length of the side of the square ABCD, which is described by a circle k with a radius of 10 cm.
• Squares above sides
  Two squares are constructed on two sides of the ABC triangle. The square area above the BC side is 25 cm². The height vc to the side AB is 3 cm long. The heel P of height vc divides the AB side in a 2: 1 ratio. The AC side is longer than the BC side. Calc
• Diamond diagonals
  Calculate the diamonds' diagonals lengths if the diamond area is 156 cm square, and the side length is 13 cm.
• Triangle in a square
  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.
• Rectangle diagonal
  The rectangle, one side of which is 5 cm long, is divided by a 13 cm diagonal into two triangles. Calculate the area of one of these triangles in cm².
• Two 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?
• Diagonal - simple
  Calculate the length of the diagonal of a rectangle with dimensions 5 cm and 12 cm.
• Side and diagonal
  Find the circumference and the area of the rectangle if given: side a = 8 cm diagonal u = 10 cm.
• IS trapezoid
  Calculate the length of diagonal u and height v of isosceles trapezoid ABCD, whose bases have lengths a = |AB| = 37 cm, c = |CD| = 29 cm and legs b = d = |BC| = |AD| = 28 cm.