Equilateral triangle ABC

In the equilateral triangle ABC, K is the center of the AB side, the L point lies on one-third of the BC side near point C, and point M lies on one-third of the side of the AC side closer to point A. Find what part of the ABC triangle contains the triangle KLM.

Correct answer:

x =  0.2778

Step-by-step explanation:

a=1 h=a2(a/2)2=12(1/2)20.866  S=2a h=21 0.8660.433  S1=23h 2a=230.866 210.0722 S2=232 h 2a=232 0.866 210.1443 S3=23h 32 a=230.866 32 10.0962  S4=S(S1+S2+S3)=0.433(0.0722+0.1443+0.0962)0.1203  x=SS4=0.4330.1203=185=0.2778

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

Tips for related online calculators
Need help calculating sum, simplifying, or multiplying fractions? Try our fraction calculator.
See also our right triangle calculator.
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: