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Re: What is the length of a line segment drawn from point   B to [#permalink]
please explain with diagram
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Re: What is the length of a line segment drawn from point   B to [#permalink]
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Triangle ABC is a right triangle with a short side of  \(2 \sqrt{3}\) cm and a hypotenuse of \(4 \sqrt{3}\) cm. Because the short side is half the hypotenuse, this is a 30 °-60 °-90 ° triangle with the 30 ° angle at vertex A.   The ratio of the sides of this triangle are \(1:\sqrt{3}:2\) , so side AB is \(\sqrt{3} * 2 \sqrt{3} =6\). 

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Triangle.jpg
Triangle.jpg [ 23.05 KiB | Viewed 491 times ]




A perpendicular from B to line AC creates two more 30 °-60 °-90 ° triangles. In the triangle on the left, the   perpendicular is the short side and the hypotenuse is 6. The length of the perpendicular is half   the length   of   the   hypotenuse,   or   3.
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Re: What is the length of a line segment drawn from point   B to [#permalink]
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