Mathematics
Grade9
Easy

Question

If G is the centroid of triangle ABC,

Find GD.

  1. 3
  2. 4
  3. 5
  4. 6

hintHint:

Gentroid is the intersection point of all the three medians of a triangle.

The correct answer is: 5


    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell A G equals 3 x space plus space 7 end cell row cell A G space plus space G D space equals space 3 x space plus space 7 space plus space 4 x space plus space 1 end cell row cell A D space equals space 7 x space plus space 8 end cell row cell A G space equals space 2 over 3 space A D end cell row cell 3 x space plus space 7 space equals space 2 over 3 space left parenthesis 7 x space plus space 8 right parenthesis end cell row cell 9 x space plus space 21 space equals space 14 x space plus space 16 end cell row cell 5 x space equals space 5 end cell row cell X space equals space 1 end cell row cell A G space equals space 3 space cross times space 1 space plus space 7 end cell row cell equals space 10 end cell row cell G D space equals space 4 x space plus space 1 end cell row cell equals 4 space cross times space 1 space plus space 1 space equals space 5 end cell end table

    Centroid divides a median in the ratio 2:1

    Related Questions to study

    Grade9
    Mathematics

    If G is the centroid of triangle ABC,

    Find BG.

    BE= 12
    table attributes columnspacing 1em end attributes row cell B G space equals space 2 over 3 space B E end cell row cell equals 2 over 3 space cross times space 12 end cell row cell equals space 8 end cell end table

    If G is the centroid of triangle ABC,

    Find BG.

    MathematicsGrade9

    BE= 12
    table attributes columnspacing 1em end attributes row cell B G space equals space 2 over 3 space B E end cell row cell equals 2 over 3 space cross times space 12 end cell row cell equals space 8 end cell end table

    Grade9
    Mathematics

    If G is the centroid of triangle ABC,

    Find BE.

    BG = 4x + 4
    BG = 2/3 BE
    4x + 4 = 2/3 (7x + 5)
    12x + 12 = 14x + 10
    2x = 2
    x = 1
    BE = 7x + 5
    = 12

    If G is the centroid of triangle ABC,

    Find BE.

    MathematicsGrade9

    BG = 4x + 4
    BG = 2/3 BE
    4x + 4 = 2/3 (7x + 5)
    12x + 12 = 14x + 10
    2x = 2
    x = 1
    BE = 7x + 5
    = 12

    Grade9
    Mathematics

    If G is the centroid of triangle ABC,

    Find CG

    fraction numerator C G over denominator G F end fraction equals 2 over 1
    >>>CG was given as 5x+1 and CF can be found in terms of x.
    >>>There is no scope to find the value of x.
    >>>Hence, we have no way to find the value of CG.

    If G is the centroid of triangle ABC,

    Find CG

    MathematicsGrade9

    fraction numerator C G over denominator G F end fraction equals 2 over 1
    >>>CG was given as 5x+1 and CF can be found in terms of x.
    >>>There is no scope to find the value of x.
    >>>Hence, we have no way to find the value of CG.

    parallel
    Grade9
    Mathematics

    If G is the centroid of triangle ABC,

    Find AG

    Centroid divides a median in the ratio 2:1

    If G is the centroid of triangle ABC,

    Find AG

    MathematicsGrade9

    Centroid divides a median in the ratio 2:1

    Grade9
    Mathematics

    If G is the centroid of triangle ABC,

    Find x.

    If G is the centroid of triangle ABC,

    Find x.

    MathematicsGrade9
    Grade9
    Mathematics

    In the given figure:

    Compare area of ∆ABE, ∆ACE.

    In the given figure:

    Compare area of ∆ABE, ∆ACE.

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

    In the given figure:

    Find the area of ∆AEC.

    Area = 1 half  ×  12  ×  5
    = 30

    In the given figure:

    Find the area of ∆AEC.

    MathematicsGrade9

    Area = 1 half  ×  12  ×  5
    = 30

    Grade9
    Mathematics

    In the given figure:

    Find the area of ∆ABE.

    Area of the triangle =  1 half cross times b a s e cross times h e i g h t
    Area = 1 half  ×  12  ×  5
    Area = 30

    In the given figure:

    Find the area of ∆ABE.

    MathematicsGrade9

    Area of the triangle =  1 half cross times b a s e cross times h e i g h t
    Area = 1 half  ×  12  ×  5
    Area = 30

    Grade9
    Mathematics

    In the given figure:

    Find h.

    In the given figure:

    Find h.

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

    Given vertices of a triangle are A (1, 1) B (11, 8) C (13, 6).Find the midpoints of BC, CA

    Given vertices of a triangle are A (1, 1) B (11, 8) C (13, 6).Find the midpoints of BC, CA

    MathematicsGrade9
    Grade9
    Mathematics

    The centroid and orthocenter of an equilateral triangle for special segments are ____

    The centroid and orthocenter, both are the same in an equilateral triangle for special segments

    The centroid and orthocenter of an equilateral triangle for special segments are ____

    MathematicsGrade9

    The centroid and orthocenter, both are the same in an equilateral triangle for special segments

    Grade9
    Mathematics

    The point of concurrency of all the three altitudes of a triangle is called ___

    The point of concurrency of all the three altitudes of a triangle is called ___

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

    The point of concurrency of all the three medians of a triangle is called ___

    The point of concurrency of all the three medians of a triangle is called ___

    MathematicsGrade9
    Grade9
    Mathematics


    if AD is the altitude, which of the following is true?


    if AD is the altitude, which of the following is true?

    MathematicsGrade9
    Grade9
    Mathematics

    If ABC is an isosceles triangle:
    Find ∠CAD

    If ABC is an isosceles triangle:
    Find ∠CAD

    MathematicsGrade9
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.