# How would you describe the angles and sides of an acute, isosceles triangle?

Nov 27, 2015

An isosceles must have $2$ equal side lengths and $2$ equal angles only.

#### Explanation:

An isosceles triangle looks something like:

• Any isosceles triangle has two equal sides, which are both indicated by the variable $b$. This means that the left side's length $b$ is equal to the right side's length $b$.
• Any isosceles triangle also has two equal angles, which are both indicated by the line at each angle.

With this information, we can state that for a triangle to be isosceles, it must have $2$ equal side lengths and $2$ equal angles.

If $b$ was not equal to $b$, then the triangle is not isosceles. Similarly, if the angles were not equal to each other, the triangle is not isosceles.