geometry

If segment AB is a diameter, AB =10, and measure angle ABC =45, how far is segment BC from the center of circle O?

  1. 👍 0
  2. 👎 0
  3. 👁 48
  1. The line from BC to the centre forms an isosceles right-angled triangle with hypotenuse of 5
    if that perpendicular distance is x

    x^2 + x^2 = 5^2
    x^2 = 25/2
    x = 5/√2 or 5√2/2

    1. 👍 0
    2. 👎 0
    posted by Reiny

Respond to this Question

First Name

Your Response

Similar Questions

  1. geometry

    if segment bd bisects angle abc. the measure of angle abc=7x. the measure of angle abd=3x+25 find the measure of angle dbc

    asked by Anonymous on October 9, 2011
  2. geometry

    if segment bd bisects angle abc. the measure of angle abc=7x. the measure of angle abd=3x+25 find the measure of angle dbc

    asked by Anonymous on October 9, 2011
  3. geometry

    if segment bd bisects angle abc. the measure of angle abc=7x. the measure of angle abd=3x+25 find the measure of angle dbc

    asked by Anonymous on October 9, 2011
  4. math

    triangle ABC is isoceles with segment AB congruent tp segment AC. Angle A is 50. The bisectors of angle B and angle C meet at D. Find the measure of angle BDC

    asked by julian on December 10, 2012
  5. Geometry

    Angle ABC and ange DBE are vertical angles,the measure of angle ABC =3x+20, and the measure or angle DBE =4x-10. Write and solve an equation to find the measure of angle ABC and the measure of angle DBEin

    asked by Amber on September 2, 2012
  6. Geometry

    Angle ABC and ange DBE are vertical angles,the measure of angle ABC =3x+20, and the measure or angle DBE =4x-10. Write and solve an equation to find the measure of angle ABC and the measure of angle DBEin

    asked by Amber on September 2, 2012
  7. GeOmEtRy!!!

    In triangle ABC,segment BF is the angle bisector of angle ABC, segment AE,segment BF, and segment CD are medians, and P is the centroid. Find x if DP=4x-3 and CP=30

    asked by VeRoNiCa C. on December 29, 2011
  8. geometry

    measure of angle ABC=4x-12 measure of angle ABX=24 BX bisects ABC solve for X and find the measure of angle ABC **page 48 # 11 of prentice hall,california geometry**

    asked by Terry on September 27, 2011
  9. geometry

    measure of angle ABC=4x-12 measure of angle ABX=24 BX bisects ABC solve for X and find the measure of angle ABC **page 48 # 11 of prentice hall,california geometry**

    asked by Terry on September 27, 2011
  10. geometry

    In right triangle ABC, measure of angle ACB= 90 and segment CD is the altitude to the hypotneuse AB. Ad= 6 cm and BD= 4 cm. Find the length of segment CD to the nearest hundredth.

    asked by Colleen on May 23, 2012

More Similar Questions