In the figure cd is the perpendicular bisector of ab . if the length of ac is 2x and the length of bc is 3x – 5 . the value

In the figure cd is the perpendicular bisector of ab . if the length of ac is 2x and the length of bc is 3x - 5 . the value of x is ? ( see diagram ) and explain if possible : )


[tex]In the figure cd is the perpendicular bisector of ab . if the length of ac is 2x and the length of b[/tex]

Related Posts

This Post Has 6 Comments

  1. Answer

    Find out the value of x .

    To proof

    SAS congurence property

    In this property two sides and one angle of the two triangles are equal.

    in the Δ ADC and ΔBDC

    (1) CD = CD (common side of both the triangle)

    (2) ∠CDA = ∠ CDB = 90 °

    ( ∠CDA +∠ CDB = 180 ° (Linear pair)

    as given in the diagram

    ∠CDA  = 90°

    ∠ CDB = 180 ° - 90°

    ∠ CDB = 90°)

    (3) AD = DB (as shown in the diagram)

    Δ ADC ≅ ΔBDC

    by using the SAS congurence property .

    AC = BC

    (Corresponding sides of the congurent triangle)

    As given

    the length of AC is 2x and the length of BC is 3x - 5 .

    2x = 3x - 5

    3x -2x =5

    x = 5

    The value of x is 5 .

    Hence proved

  2. Answer

    Find out the value of x .

    To proof

    SAS congurence property

    In this property two sides and one angle of the two triangles are equal.

    in the Δ ADC and ΔBDC

    (1) CD = CD (common side of both the triangle)

    (2) ∠CDA = ∠ CDB = 90 °

    ( ∠CDA +∠ CDB = 180 ° (Linear pair)

    as given in the diagram

    ∠CDA  = 90°

    ∠ CDB = 180 ° - 90°

    ∠ CDB = 90°)

    (3) AD = DB (as shown in the diagram)

    Δ ADC ≅ ΔBDC

    by using the SAS congurence property .

    AC = BC

    (Corresponding sides of the congurent triangle)

    As given

    the length of AC is 2x and the length of BC is 3x - 5 .

    2x = 3x - 5

    3x -2x =5

    x = 5

    The value of x is 5 .

    Hence proved

  3. b. t=-25h+3

    step-by-step explanation:

    [tex]The temperature t, in burrtown starts at 25*f at midnight when h=0. for the next few hours the tempe[/tex]

  4. Answer with Step-by-step explanation:

    We will prove the SAS congruence property

    (In this property two sides and one angle of the two triangles are equal the, the two triangles are similar)

    consider,  Δ ADC and ΔBDC

    (1) CD = CD (common side of both the triangle)

    (2) ∠CDA = ∠ CDB = 90 °

    ( since, ∠CDA +∠ CDB = 180 ° )

    (3) AD = DB (as shown in the diagram)

    Hence, Δ ADC ≅ ΔBDC

    by using the SAS congurence property .

    AC = BC

    (Corresponding sides of the congruent triangle)

    i.e. 2x = 3x - 5

        3x -2x =5

          x = 5

    Hence, the value of x is 5

  5. Answer with Step-by-step explanation:

    We will prove the SAS congruence property

    (In this property two sides and one angle of the two triangles are equal the, the two triangles are similar)

    consider,  Δ ADC and ΔBDC

    (1) CD = CD (common side of both the triangle)

    (2) ∠CDA = ∠ CDB = 90 °

    ( since, ∠CDA +∠ CDB = 180 ° )

    (3) AD = DB (as shown in the diagram)

    Hence, Δ ADC ≅ ΔBDC

    by using the SAS congurence property .

    AC = BC

    (Corresponding sides of the congruent triangle)

    i.e. 2x = 3x - 5

        3x -2x =5

          x = 5

    Hence, the value of x is 5

Leave a Reply

Your email address will not be published. Required fields are marked *