Perhaps you can ask the angel to shed some divine light on the question!
Suppose the base is BC, with
angle B = 75 degrees
angle C = 30 degrees
then that angle A = 180 - (75+30) = 75 degrees.
Suppose the side opposite angle A is of length a mm, the side opposite angle B is b mm and the side opposite angle C is c mm.
Then by the sine rule
a/sin(A) = b/(sin(B) = c/sin(C)
This gives b = a*sin(B)/sin(A)
and c = a*sin(C)/sin(A)
Therefore, perimeter = 150 mm = a+b+c = a/sin(A) + a*sin(B)/sin(A) + a*sin(C)/sin(A)
so 150 = a*{1/sin(A) + sin(B)/sin(A) + sin(C)/sin(A)}
or 150 = a{x}
where every term for x is known.
This equation can be solved for a.
So draw the base of length a. At one end, draw an angle of 75 degrees, at the other one of 30 degrees and that is it!
Its 3rd angle is 52 degrees which is its smallest angle and opposite to its smallest side and by using the sine rule the perimeter of the triangle works out as 44.45 mm to two decimal places
Use trigonometry knowing that the angle will be 60 degrees
Construct an equilateral triangle which will have 3 equal interior angles of 60 degrees and 3 equal exterior angles of 120 degrees
draw a base and use this to draw an equilateral triangle each angle of an equilateral triangle adds up to 60 degrees. To have an angle of 120 degree use this angle and then draw another side of a triangle next to it to get a 120 degree angle.
Using the sine rule in trigonometry its other sides are 13.62cm and 16.35cm both rounded to two decimal places therefore it follows that the perimeter of the triangle is 14.5cm+13.62xm+16.35cm = 44.47cm
== == The corresponding angle is 60 degrees.
Using the trigonometry sine rule the other sides of the triangle are 16.35cm and 13.62cm so it follows that its perimeter is 14.5+16.35+13.62 = 44.47cm
Its 3rd angle is 52 degrees which is its smallest angle and opposite to its smallest side and by using the sine rule the perimeter of the triangle works out as 44.45 mm to two decimal places
Use trigonometry knowing that the angle will be 60 degrees
Yes
Construct an equilateral triangle because each of its 3 exterior angles measures 120 degrees
Construct an equilateral triangle which will have 3 equal interior angles of 60 degrees and 3 equal exterior angles of 120 degrees
draw a base and use this to draw an equilateral triangle each angle of an equilateral triangle adds up to 60 degrees. To have an angle of 120 degree use this angle and then draw another side of a triangle next to it to get a 120 degree angle.
Using the sine rule in trigonometry its other sides are 13.62cm and 16.35cm both rounded to two decimal places therefore it follows that the perimeter of the triangle is 14.5cm+13.62xm+16.35cm = 44.47cm
With a protractor or construct an equilateral triangle which has 3 equal interior angles of 60 degrees
Yes how doe sit look like?
Using the sine rule in trigonometry of 14.5/sin(57) = b/sin(71) = c/sin(52) the perimeter of the triangle works out as 44.47 cm to two decimal places.