geometry

posted by .

ABCD is a quadrilateral with ∠ADC=∠ACD, ∠ACB=∠ABC and CD=7. If triangles ADC and ABC have perimeter 51 and 59, respectively, what is the value of BC?

  • geometry -

    It should be easy to see that
    AB = AC = AD
    let each one be x
    in triangle ADC
    2x + 7 = 51
    2x= 44
    x = 22

    in triangle ABC
    2x + BC = 59
    44 + BC = 59
    BC = 15

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. geometry!

    ABC is an acute angle triangle with points D and E on BC and AC, respectively such that BE and AD are altitudes. AD and BE intersect at H. If ∠BCA=39∘ and ∠EBA=2∠DAB, what is the measure of ∠ABC (in degrees)?
  2. geometry...TRIANGLE

    ABCD is a quadrilateral with ∠ADC=∠ACD, ∠ACB=∠ABC and CD=7. If triangles ADC and ABC have perimeter 51 and 59, respectively, what is the value of BC?
  3. GEOOOOMETRY!!!!!....Angled Perimeter

    ABCD is a quadrilateral with ∠ADC=∠ACD, ∠ACB=∠ABC and CD=7. If triangles ADC and ABC have perimeter 51 and 59, respectively, what is the value of BC?
  4. Math (Geometry)

    ABCD is a parallelogram with side lengths AB=15,BC=10 and ∠ADC=75∘. A point P in the interior of the parallelogram is chosen such that ∠APD+∠CPB=180∘. What is the measure (in degrees) of ∠PAD+∠PCB?
  5. Math

    Someone please help me figure this problem Given: Triangles ABC and BCD are isosceles, m∠BDC = 30°, and m∠ABD = 155°. Find m∠ABC, m∠BAC, and m∠DBC.
  6. q

    Given the diagram, a supplement to ∠ABC could be ∠BDC ∠DAB ∠ADC ∠BAC
  7. maths

    According to the Journal of Irreproducible Results, any obtuse angle is a right angle! x A P B C D Here is their argument. Given the obtuse angle x, we make a quadrilateral ABCD with ∠DAB = x, and ∠ABC = 90◦ , and …
  8. maths

    According to the Journal of Irreproducible Results, any obtuse angle is a right angle! x A P B C D Here is their argument. Given the obtuse angle x, we make a quadrilateral ABCD with ∠DAB = x, and ∠ABC = 90◦ , and …
  9. maths

    According to the Journal of Irreproducible Results, any obtuse angle is a right angle! x A P B C D Here is their argument. Given the obtuse angle x, we make a quadrilateral ABCD with ∠DAB = x, and ∠ABC = 90◦ , and …
  10. Geometry

    Are my geometry answers correct? Please help, I'd like to make sure before I hand this in. Name the property of equality each statement illustrates. 1.) If m∠2=m∠3 and m∠3=m∠1, then m∠2=m∠1. My answer:Transitive

More Similar Questions