Waste less time on Facebook — follow Brilliant.
×
Geometry

Classification of Triangles

Properties of Equilateral Triangles

         

In the above diagram, \(\angle ABC=60^\circ\) and \(\angle ACB=60^\circ.\) If \(\lvert \overline{AB}\rvert =3,\) what is the area of \(\triangle ABC\)?

View solution
View wiki
by Brilliant Staff

Given two distinct points \(A\) and \(B\) in the plane, how many distinct points \(C\) are there on the same plane such that \(\triangle ABC\) is an equilateral triangle?

View solution
View wiki
by Brilliant Staff

There are \(8\) equilateral triangles each of which is \(4 \text{ cm}\) on a side. All of these triangles have been made by bending copper wires. Now, you unbend the wires and try to make squares with side length \(1 \text{ cm}.\) How many such squares can you make?

View solution
View wiki
by Brilliant Staff

In the above diagram, the side length of equilateral triangle \(\triangle ABC\) is \(a=3.\) If \(D\) is the midpoint of \(\overline{BC}\) and \(\triangle ADE\) is also an equilateral triangle, what is the area of \(\triangle ABE\)?

View solution
View wiki
by Brilliant Staff

In the above diagram, the triangle is the equilateral triangle. If \(\overline{AB}=5.\) What is the height of \(\triangle ABC\)?

View solution
View wiki
by Brilliant Staff
×

Problem Loading...

Note Loading...

Set Loading...