Post a New Question

GEOMetry(TRIANGLE)

posted by on .

ABC is an isosceles triangle where AB=AC and BC=60. D is a point on BC such that the perpendicular distance from D to AB and AC is 16 and 32, respectively. What is the length of AB?

  • GEOMetry(TRIANGLE) - ,

    AB=50

  • GEOMetry(TRIANGLE) - ,

    how

  • GEOMetry(TRIANGLE) - ,

    Let length of AB =a
    sABC=sABD+sACD (s stands for area)
    1/2x60x(a^2-30^2)^0.5=1/2x(16a+32a)
    5(a^2-30^2)^0.5=4a
    25a^2-16a^2=25x30^2
    a^2=2500
    a=50

Answer This Question

First Name:
School Subject:
Answer:

Related Questions

More Related Questions

Post a New Question