Practice30Create account

An equilateral triangle ABC is inscribed in a circle. P is a point on the minor arc BC with PB = 3 cm and PC = 5 cm. Find PA.

Competition practiceGeometry
  • A8 cm
  • B√34 cm
  • C4 cm
  • D7 cm

Step-by-Step Solution

ABPC is a cyclic quadrilateral, so by Ptolemy's theorem . All sides of the triangle are equal, so cm.
Answer: A) 8 cm

Master this topic in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Geometry practice questions

More Geometry practice

Triangle ABC has AB = 13 cm, BC = 14 cm and CA = 15 cm. D is the point on BC with BD =…A triangle has a base of 12 cm and a height of 8 cm. A square is drawn inside it with…In a right triangle ABC with the right angle at C, the altitude CD cuts the hypotenuse…Points D and E lie on sides AB and AC of triangle ABC with AD : DB = 1 : 2 and AE : EC =…D is a point on side BC of triangle ABC with BD : DC = 1 : 2, and E is the midpoint of…