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In Delta ABC, AB = BC, BD is the altitud...

In `Delta ABC`, `AB = BC`, BD is the altitude for the base AC of triangle `DC = x` units `BD = 2x - 1` units, `BC = (2x + 1)` units. Find the measure of the sides of a triangle.

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The correct Answer is:
17 units
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Knowledge Check

  • The area (A) of triangle, whose base is 4 units longer than its altitude (x) is :

    A
    `A = 1/2x(x - 4)`
    B
    `A = 1/2x(x + 4)`
    C
    `A = 1/2(4x)`
    D
    `A = 1/2x(x + 4x)`

  • If D is the mid-point of side BC of a triangle ABC and AD is perpendicular to AC, then

    A
    `a^(2)+b^(2)=5c^(2)`
    B
    `3a^(2)=b^(2)-3c^(2)`
    C
    `b^(2)=a^(2)-c^(2)`
    D
    `3b^(2)=a^(2)-c^(2)`

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    In an isosceles triangle ABC, if AB = AC = 25 cm and altitude from A on BC is 24 cm, find BC.

    In Delta ABC , /_ B = /_C , D and E are the points on AB and AC such that BD = CE , prove that DE || BC .

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    In Delta ABC , AD is the bisector of /_ BAC . If AB = 8 cm , BD = 6 cm and DC = 3 cm , then find AC.

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