Rectangle construction diagonal

Construct a rectangle ABCD if a = 8 cm and the length of the diagonal AC is 13 cm. Measure the length of the sides of the rectangle.

Your answer:

Help us improve! If you spot a mistake, please let let us know. Thank you!

Tips for related online calculators

You need to know the following knowledge to solve this word math problem:

geometry

Thales' theorem

arithmetic

square root

planimetry

Pythagorean theorem
right triangle
circle
diagonal
rectangle

themes, topics

geometry construction problems

Grade of the word problem

practice for 10 year olds
practice for 11 year olds

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

Related math problems and questions:

Construct rhombus
Construct rhombus ABCD if given diagonal length | AC | = 8 cm, inscribed circle radius r = 1.5 cm
Rhombus construction
Construct a rhombus ABCD if AB = 5 cm, BD = 6 cm and AC = 3 cm
Triangle parallelogram construction
Construct triangle ABC if c = 5 cm, b = 7 cm and a = 4 cm. Then create a parallelogram axially symmetric with the line AC. Measure the size of the second diagonal of this quadrilateral.
Rhombus construction
ABCD rhombus construction entered: a + b = 9 cm; AC = 4.5 cm; height ha = 3.5 cm How long do sides a and b measure?
Construct
Construct a rhombus ABCD if diagonal AC is 6 cm long and diagonal BD is 8 cm long.
Quadrilateral ABCD
Construct a quadrilateral ABCD with diagonals AC = e = 7 cm, BD = f = 6.2 cm, d = 4.3 cm, a = 5.3 cm and β = 125°
The diagonals 2
The diagonals AC and BD of a rectangle ABCD intersect at point O. If OA = 4 cm, find the lengths of AC and BD.