Mathematics
Grade9
Easy

Question

Given a triangle ABC with ‘G’ as centroid.
Find GE.

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

hintHint:

Centroid divides the line of joining of the centroid and the vertices of a triangle in the ratio 2:3.

The correct answer is: 2


    In any Triangle:
    Centroid G divides the line joining the centroid and vertices of a triangle into 2:1 ratio.
    >>>Given That:

    >>BG = 4
    >>we know BG = 2 over 3BE implies BE = 3 over 2BG. Then,
    BE = 3 over 2 cross times 4
    BE = 6
    >>> From figure, BE = BG + GE, Then:
    GE = BE -BG
    GE = 6-4
    GE = 2
    >>>Therefore, the length of the GE is 2 units. 

    table attributes columnspacing 1em end attributes row cell B G equals 4 end cell row cell B G equals 2 over 3 B E end cell row cell B E equals 3 over 2 space cross times space 4 end cell row cell B E equals 6 end cell row cell G E equals B E space minus space B G end cell row cell equals 6 space minus space 4 end cell row cell equals space 2 end cell end table

    Related Questions to study

    Grade9
    Mathematics

    In the ∆QPR, what is the point of concurrency of medians?

    Centroid divides a median in the ratio 2:1

    In the ∆QPR, what is the point of concurrency of medians?

    MathematicsGrade9

    Centroid divides a median in the ratio 2:1

    Grade9
    Mathematics

    Choose an option that relates to AD, in the given figure.

    Choose an option that relates to AD, in the given figure.

    MathematicsGrade9
    Grade9
    Mathematics

    From the given figure:

    Find the length of the sides of the triangle.

    We can find the triangle side lengths by using the Pythagorean theorem.
    Side length = equals square root of 12 squared plus 5 squared end root
    table attributes columnspacing 1em end attributes row cell equals square root of 144 plus 25 end root end cell row cell equals square root of 169 end cell row cell equals 13 end cell end table
    13, 13 and base =10

    From the given figure:

    Find the length of the sides of the triangle.

    MathematicsGrade9

    We can find the triangle side lengths by using the Pythagorean theorem.
    Side length = equals square root of 12 squared plus 5 squared end root
    table attributes columnspacing 1em end attributes row cell equals square root of 144 plus 25 end root end cell row cell equals square root of 169 end cell row cell equals 13 end cell end table
    13, 13 and base =10

    parallel
    Grade9
    Mathematics

    Find the value of x.

    Find the value of x.

    MathematicsGrade9
    Grade9
    Mathematics

    Find the value of x.

    Find the value of x.

    MathematicsGrade9
    Grade9
    Mathematics

    Find the value of x.

    Find the value of x.

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

    Find the value of x in the given figure.

    By angle bisector theorem, x = 29 to the power of o
    >>>Therefore, the value of x is 29 degrees.

    Find the value of x in the given figure.

    MathematicsGrade9

    By angle bisector theorem, x = 29 to the power of o
    >>>Therefore, the value of x is 29 degrees.

    Grade9
    Mathematics

    Where should the goalkeeper in a hockey match stand from the person hitting the ball?

    Where should the goalkeeper in a hockey match stand from the person hitting the ball?

    MathematicsGrade9
    Grade9
    Mathematics

    The point on an angle bisector is ____ from the two sides of the angle.

    The point on an angle bisector is ____ from the two sides of the angle.

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

    The point at which the angle bisectors intersect in a triangle is ____ from the ____ of the triangle.

    The point at which the angle bisectors intersect is equidistant from the sides of the triangle.

    The point at which the angle bisectors intersect in a triangle is ____ from the ____ of the triangle.

    MathematicsGrade9

    The point at which the angle bisectors intersect is equidistant from the sides of the triangle.

    Grade9
    Mathematics

    What is the perimeter of the triangle?

    What is the perimeter of the triangle?

    MathematicsGrade9
    Grade9
    Mathematics

    In the given figure,   , a person must start from home and reach school, grocery store and reach home. The road is in a circular path.
    Which concept is used to solve this problem?

    In the given figure,   , a person must start from home and reach school, grocery store and reach home. The road is in a circular path.
    Which concept is used to solve this problem?

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

    In the given figure, what is the point of concurrency?

    In the given figure, what is the point of concurrency?

    MathematicsGrade9
    Grade9
    Mathematics


    In the given figure, what is the perimeter of PDE?


    In the given figure, what is the perimeter of PDE?

    MathematicsGrade9
    Grade9
    Mathematics

    Find x. 

    Find x. 

    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.