Median and Altitude of Triangle

The area of triangle $ADC$ is _____ ${\mathrm{cm}}^2$, if area of the $∆ABC$ is $36 {\mathrm{cm}}^2$ and also $AD$ is the median of the triangle $ABC$.

The _____ triangle has its all the medians and altitudes of same length.

Number of points where the three heights (altitudes) of a triangle meet each other.

Sides of a triangle are $8 \mathrm{cm}, 8 \mathrm{cm} \& 8 \mathrm{cm}$. Find the perimeter of the triangle.

Sides of a triangle are $7 \mathrm{cm}, 5 \mathrm{cm} \& 6 \mathrm{cm}$. Find the perimeter of the triangle.

The angles adjacent to side $DE$ are

For the obtuse-angled $△PQR$, obtuse angle at $R$, the altitude drawn from $P$ to the side 

Identify the triangles whose all the medians and heights (altitudes) are same.

Length of each side of an equilateral triangle is $4 \mathrm{cm}$. If the length of median is $k\sqrt{3} \mathrm{cm}$, find the value of $k$.

The area of a triangle $ABC$ is $36 {\mathrm{cm}}^2$, then the area of triangle $ADC$ is _____ ${\mathrm{cm}}^2$, where $AD$ is the median of the triangle $ABC$.

Identify the type of segment required in the below triangle:

$BD=$

Identify the type of segment required in the below triangle:

$AD=$

If the Perimeter of the following triangle is $\frac{6+2\sqrt{k}}{\sqrt{k}}$ then the value of $k=$_____.

$△ABC$ is a right angled triangle. If $CD=k \mathrm{cm}$ then find $k$.

If the altitude to side $AC$ of triangle with side $AB = 20 \mathrm{cm}, AC = 20 \mathrm{cm}, BC = 30 \mathrm{cm}$ is $7.5\sqrt{k }\mathrm{cm}$ then find $k$.

If the altitude of a triangle is $k \mathrm{cm}$, its area is $120 {\mathrm{cm}}^2$ and its base is $6 \mathrm{cm}$ then find $k$.

Every triangle has $4$ altitudes, one from each vertex.

The $3$ medians divide the triangle into $8$ smaller triangles of equal area.

Every triangle has$3$ medians.

The orthocenter is located inside the triangle in _____ triangle. (Acute/Right)