Median of the Triangle

The lengths of three medians of a triangle are $9 \mathrm{cm}$, $12 \mathrm{cm}$ and $15 \mathrm{cm}$. The area (in $\mathrm{sq}. \mathrm{cm}.$) of the triangle is:

Which among the following is the point of intersection of the medians of a triangle?

The points $\mathrm{A}(–1, 4), \mathrm{B}(5, 2)$ are the vertices of a triangle of which$\mathrm{O}(0,–3)$ is centroid, then the third vertex C is_____.

Let $BE$ and $CF$ be the two medians of a $∆\mathrm{ABC}$ and $G$ be their intersection. Also let $EF$ cut $AG$ at $O$. then find $AO : OG$.

If median of two equilateral triangles are in the ratio $3 : 2$, then what will the ratio of their side?

What is the formula to find the median of a triangle.

Suppose $∆ABC$ is an isosceles triangle with $\angle C=90°,A=\left(2,3\right)$ and $B=\left(4,5\right)$. Then the centroid of the triangle is

What is difference between altitude, median and angle bisector?

If $\mathrm{G}$ is the centroid of triangle $\mathrm{ABC}$ and $\mathrm{GF}=4$. Find the length of $\mathrm{GC}$.

If the centroid of the triangle of the points $(a, b), (b, c)$ and $\left(c, a\right)$ is at the origin, then $a^3+b^3+c^3-3abc=$

The distance from the origin to the centroid of the triangle whose vertices are $\left(7, 1\right), \left(1, 5\right)$ and $\left(1, 6\right)$.

The coordinates of the vertices of a triangle are$(1,2),(3,3),(1,1).$ Find the coordinates of its centroid.

Let $ABCD$ be a rectangle and $M$ be the midpoint of $CD$. Suppose $AC$ and $BD$ meet at $O, AM$ and $BD$ meet at $X$, $BM$ and $AC$ meet at $Y$. Then

Define centroid of a triangle. Write its properties and the formula for centroid of a triangle.

Define median of a triangle and write its properties.

Write the difference between the median and the altitude of a triangle.

In the given figure $\mathrm{BD}$is the angle bisector of angle $\mathrm{BD}$. What is the length of median drawn from B to $\mathrm{AC}$?

In the given figure $\mathrm{BD}$ is the angle bisector of angle $\mathrm{B}$. What is the length of median drawn from $\mathrm{B}$ to $\mathrm{AC}$?

ABC is a triangle such that$\angle \mathrm{BAC} = 37.5º$ and $\angle \mathrm{BCA} = 62.5º,$ if BP is the median on AC, then the $\angle \mathrm{ABP}$ is

The vertices of a triangle are $\left(2, 1\right), \left(5, 2\right)$ and $\left(3, 4\right).$ Then the coordinates of the centroid are;