Question

An isosceles triangle ABC has its vertices on a circle. If AB =13 cm BC= 13cm and AC= 10cm calculate the height BM of the triangle

Answer 1

`BM = 12\,cm`

Explanation:

The height BM of the triangle can be determined by using the Pythagorean theorem:

`BM = \sqrt{BC^(2)-\left((1)/(2)\cdot AC \right)^(2)}`

`BM = \sqrt{(13\,cm)^(2)-(5\,cm)^(2)}`

The height of the isosceles triangle is:

`BM = 12\,cm`