Example 4
Find the perimeterof the triangle.All sidesof the triangleare tangentto the circle.The TangentSegmentsfrom a CommonExternalPointTheoremtells us that:The perimeterof the triangle==Example 5
An isoscelesright triangleis circumscribedabouta circlewith diameterof inches.Find the hypotenuse
of the triangle.
Let’s start by makinga sketch.Since and are radii of the circleand and are tangentsto the circle,and.
Therefore,quadrilateral is a square.
Therefore,We can find the lengthof side by usingthe PythagoreanTheorem.