Asked by Emma
If an equilateral triangle has an altitude of 4.12 cm, how many cm long is one of its sides?
Answers
Answered by
MathMate
If the length of one of its sides is x.
Then x/2 is half the side.
An altitude divides the equilateral triangle into two congruent right triangles, each with half of one side (x/2) as the short side, the altitude as the long side, and the side (x) as the hypotenuse.
So by using Pythagoras Theorem, we have
(x/2)² + 4.12²= x²
Solve for x.
Then x/2 is half the side.
An altitude divides the equilateral triangle into two congruent right triangles, each with half of one side (x/2) as the short side, the altitude as the long side, and the side (x) as the hypotenuse.
So by using Pythagoras Theorem, we have
(x/2)² + 4.12²= x²
Solve for x.
Answered by
Emma
Thank you!
Answered by
MathMate
You're welcome!
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