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A 30-60-90 right triangle is one in which the three angles of the triangle 30, 60 and 90 degrees. The length of the sides of such a triangle have the ratio 1:2:square root of 3. The 1 is opposite the 30 degree angle, the 2 is opposite the 60 degree angle and the square root of 3 is opposite the 90 degree angle.
No. The angles must be an included angle, between the sides to guarantee congruence. For an example. imagine a triangle with two equal sides and a 60 degree angle between them and another triangle with the same two equal sides and a 120 degree angle between them.
asuming you know how to construct a 60 degree angle, you would start by drawling a basic construction line an then make your angle bisecter with breaks the angle into 30 degree angles. then create another angle bisector for 30 degrees breaking it into 15 degree angles. then do the same with the 15 degree angle. your drawling sould have three angle bisectors for each angle. to get your answer of 22.5 degress angle, simply add the 15 degree angle you drew with the 7.5 angle you got from spliting the 15 degree angle in half its hard to explain without drawing it out..... hope this helps
The longest side is twice as long as the shortest side.
Each angle is 60 degrees