# Height of an isosceles triangle

The formula for the height of an isosceles triangle can be obtained from the Pythagorean theorem, as well as from the Heron formula. An isosceles triangle is a triangle in which two of the three sides are equal to each other. Using the property of an isosceles triangle: the height lowered to the base is both the bisector, the median, and the median perpendicular, you can derive a formula for finding the height of an isosceles triangle.

**Find the height of an isosceles triangle, through the base and side**

**The side of the triangle a**

**The base of the triangle b**