Diagonal to area

Calculate the area of a rectangle in which the length of the diagonal is 10 cm.

Correct result:

S =  36.661 cm2

Solution:

u=10 cm a=4 cm b=u2a2=102422 21 cm9.1652 cm  S=a b=4 9.1652=8 21=36.661 cm2u=10 \ \text{cm} \ \\ a=4 \ \text{cm} \ \\ b=\sqrt{ u^2-a^2 }=\sqrt{ 10^2-4^2 } \doteq 2 \ \sqrt{ 21 } \ \text{cm} \doteq 9.1652 \ \text{cm} \ \\ \ \\ S=a \cdot \ b=4 \cdot \ 9.1652=8 \ \sqrt{ 21 }=36.661 \ \text{cm}^2



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Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

 
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