Rectangular trapezoid

The ABCD rectangular trapezoid with the AB and CD bases is divided by the diagonal AC into two equilateral rectangular triangles. The length of the diagonal AC is 62cm. Calculate the trapezium area in cm square and calculate how many different perimeters of the ABC and ACD triangles are in centimeters.

Correct answer:

S =  2883 cm2
x =  62 cm

Step-by-step explanation:

u=62 cm a=u2+u2=622+622=62 2 cm87.6812 cm  c2 + c2 = u2 c=u/2=62/2=31 2 cm43.8406 cm  S=2a+c c=287.6812+43.8406 43.8406=2883 cm2
o1=2 c+u=2 43.8406+62149.6812 cm o2=2 u+a=2 62+87.6812211.6812 cm  x=o2o1=211.6812149.6812=62 cm

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

Tips for related online calculators
See also our right triangle calculator.
Do you want to convert length units?
Calculation of an isosceles triangle.
Calculation of an equilateral triangle.
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: