Triangle KLB

It is given equilateral triangle ABC. From point L which is the midpoint of the side BC of the triangle it is drwn perpendicular to the side AB. Intersection of perpendicular and the side AB is point K. How many % of the area of the triangle ABC is area of a triangle KLB?

Correct answer:

p =  12.5 %

Step-by-step explanation:

a=1 S1=3/4 a2=3/4 120.433 LB=a/2=1/2=21=0.5 KL=LB sin60°=sinπ/3=0.43301 KB=LB cos60°=cosπ/3=0.25 S2=KL KB/2=0.433 0.25/20.0541 p=100 S2/S1=100 0.0541/0.433=12.5%



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



avatar







Tips to related online calculators
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
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: