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

Algebra ->  Triangles -> SOLUTION: An isosceles triangle ABC has its vertices on a circle. If AB| = 13 cm, |BC| = 13 cm and. = |AC| = 10 cm, calculate = a the height BM of the triangle, b the radius of the circle      Log On


   

Question 1166197: An isosceles triangle ABC has its vertices on a circle. If AB| = 13 cm, |BC| = 13 cm and. = |AC| = 10 cm, calculate =
a the height BM of the triangle, b the radius of the circle, to the nearest whole cm.
Answer by ikleyn(52851) About Me  (Show Source):
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The triangle ABM is a right angled triangle with the hypotenuse AB of 13 cm  and the leg  AM  of 10/2 = 5 cm.


Hence, the height of the triangle ABC is  BM = sqrt%2813%5E2+-+5%5E2%29 = 12 cm.