You cannot solve for a leg in any triangle without at least one other side.
Use trigonometry knowing that the angle will be 60 degrees
Equilateral Triangle.
The dimensions given could be that of an equilateral triangle
No, else the sides would not be able to close. Triangles may only have one right angle, at any given time. For a triangle to have exactly equal angles; each angle would have to measure sixty degrees - which is known as an equilateral triangle.
The answer depends on what instruments you have available. If you have a protractor, draw an inward facing 60 degree angle from each end of the line segment, and extend the lines until they meet.
An equilateral triangle would fit the given description
I could solve this if I knew what kind of triangle this was. Equilateral, Right: 30, 60, 90?
Yes providing that it's an equilateral triangle or a right angle isosceles triangle.
Use trigonometry knowing that the angle will be 60 degrees
Equilateral Triangle.
A triangle can be constructed into any of the given formats.
The definition of an obtuse angle is an angle great than 90 degrees and less than 180 degree (there cannot be any angle in a triangle larger than 180 degrees). The definition of an acute angle is an angle greater than 0 degrees (an angle cannot measure negative or 0 degrees) and less than 90 degrees. By definition you could have an infinite number of acute angles in a given obtuse angle as an acute angle could be infinitely small as long as it is greater than 0
The dimensions given could be that of an equilateral triangle
The center of the largest circle that you could draw inside a given triangle is going to be at the incenter of the triangle. This is the point where bisectors from each angle of the triangle meet.
No, else the sides would not be able to close. Triangles may only have one right angle, at any given time. For a triangle to have exactly equal angles; each angle would have to measure sixty degrees - which is known as an equilateral triangle.
Given side lengths of 8 units, an equilateral triangle will have an altitude of 7 (6.9282) units.
Given an altitude of 12 units, an equilateral triangle has side lengths of 13.9 (13.85641) units.