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=53a d2=a2+(53a)2  a2=d2/(1+5232)  a=1+5232d=1+523274=63.4545 cm
b=53 a=53 63.454538.0727 cm  k=a/b=63.4545/38.0727=351.6667  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: