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What is the largest exterior angle that any regular polygon can have?
The largest exterior angle measure is 120o. It is the exterior measure of an equilateral triangle (which is a regular polygon).
What are the classification of triangle according to sides and angles?
Classification of Triangles According to anglesIf one angle of a triangle is a right angle (90°), then it is called a Right triangle. Note that the other two angles are acute.If all the angles of a triangle are acute (less than 90°), then it is called an acute angled triangle.If one angle of a triangle is obtuse (greater than 90°), then it is called an obtuse triangle. Note that the other two angles are acute.According to sides:If any two sides of a triangle are equal, then it is called an Isosceles Triangle. In ABC, AB = AC ABC is isosceles.If all the three sides of a triangle are equal, then it is an Equilateral Triangle. In ABC, AB = BC = CA ABC is equilateral.If no two sides of a triangle are equal, then it is called a Scalene Triangle. In ABC, AB BC CA. ABC is scalene.
What type of triangle has an angle that measures 20 degrees and and angle that measures 90 degrees?
Any triangle that has an angle measuring 90 degrees is a right triangle.
How many degrees does an isosceles triangle have?
An isosceles triangle has two equal angles and one different angle. The sum of the angles in any triangle is always 180 degrees. Therefore, the two equal angles in an isosceles triangle must add up to 180 degrees minus the different angle. So, each of the two equal angles in an isosceles triangle measures (180 - x) / 2 degrees.
How does one get the formula for an equilateral triangle?
the formula for the area of equilateral triangle with side length a is (a^2)(sqrt(3)/4 ) So draw an equilateral triangle with sides a,a,a. Now divide it into two triangles by bisecting the top angle and extending that line down so it makes a 90 angle with the base. (any angle will do since it is symmetric, but I am trying to help you draw it) Now the new half triangle you have is a 30 60 90 triangle since the top angle is half the original which was 60 and the lower left angle is still 60. The 90 degree angle is the third angle and we are drawing it this way so we have a that the side between the 30 and 90 degree angles is the height of the triangle and we can use 1/bh which is the area formula. The new base has length a and the height is sqrt3(a) because it is a 30-60-90 triangle so 1/2 bxh= 1/2(1/2 )a (sqrt3)a=(1/4)a^2( sqrt3 )since 1/2 base = a/4 and height is sqrt3 x a
