SOLUTION: An isosceles triangle PQR has it's vertics on a circles. If PQ =26cm, OR =26cm and PR=20cm. Calculate; I, The height of the triangle. I, The radius of the circle to the nearest w

Algebra ->  Triangles -> SOLUTION: An isosceles triangle PQR has it's vertics on a circles. If PQ =26cm, OR =26cm and PR=20cm. Calculate; I, The height of the triangle. I, The radius of the circle to the nearest w      Log On


   

Question 1201977: An isosceles triangle PQR has it's vertics on a circles. If PQ =26cm, OR =26cm and PR=20cm. Calculate;
I, The height of the triangle.
I, The radius of the circle to the nearest whole cm
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Draw a perpendicular to the triangle.
QM passes through the cebtre and bisects the chord
QMP is right triangle
apply pythagoras theorem
sqrt(26^2-10^2)=24
Height of triangle = 24
Radius of circumcircle = Product of side / 4 * area of triangle
(26*26*20)/(4 * 240) = 14.08 cm You round off
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