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Mathematics

Grade9

Easy

Question

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

Median
Centroid
Orthocenter
Incenter

The correct answer is: Centroid

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

Related Questions to study

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

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

MathematicsGrade9

If ABC is an isosceles triangle:
Find ∠CAD

If ABC is an isosceles triangle:
Find ∠CAD

MathematicsGrade9

If ABC is an isosceles triangle:
Find DC

If ABC is an isosceles triangle:
Find DC

MathematicsGrade9

parallel

Given ΔABC is an isosceles triangle.

∆ABD $≅$
$display style approximately equal to space$

Given ΔABC is an isosceles triangle.

∆ABD $≅$
$display style approximately equal to space$

MathematicsGrade9

In the given figure G is the centroid, if GE = 4 units, AD = 12 units, CF = 14 units. Find BG

In the given figure G is the centroid, if GE = 4 units, AD = 12 units, CF = 14 units. Find BG

MathematicsGrade9

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

AF = BF
AF = 6
BF = 6

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

MathematicsGrade9

AF = BF
AF = 6
BF = 6

parallel

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

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

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

MathematicsGrade9

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

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

Follow the below steps to find the length of AB:

AF + FB = AB
AF + AF = AB
2AF = AB
AF = 1/2 AB
AB = 2 AF
AB = 12

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

MathematicsGrade9

Follow the below steps to find the length of AB:

AF + FB = AB
AF + AF = AB
2AF = AB
AF = 1/2 AB
AB = 2 AF
AB = 12

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

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

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

MathematicsGrade9

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

parallel

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

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

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

MathematicsGrade9

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

Find the value of x.

Find the value of x.

MathematicsGrade9

Find the value of x.

Find the value of x.

MathematicsGrade9

Find the value of x.

Find the value of x.

MathematicsGrade9

parallel

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