Isosceles trapezoid

In an isosceles trapezoid KLMN, the intersection of the diagonals is marked by the letter S. Calculate the area of the trapezoid if /KS/: /SM/ = 2:1 and a triangle KSN is 14 cm2.

Correct answer:

S =  63 cm2

Step-by-step explanation:

S1=14 cm2 S2=S1=14 cm2 S1 = 2x v1/2 S3 = x v1 /2 S3=S1/2=14/2=7 cm2 S1 = 1 y v2 /2 S4 = 2 y v2 /2 S4 =  y v2 = 2   S1  S4=2 S1=2 14=28 cm2 S=S1+S2+S3+S4=14+14+7+28=63 cm2



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Calculation of an isosceles triangle.
See also our trigonometric triangle calculator.

 
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