Verify by drawing a diagram if the median and altitude of an isosceles triangle can be same.

To do:

We have to verify whether the median and altitude of an isosceles triangle can be the same.

Solution:

Follow the steps:

Draw a $\triangle PQR$  with $PQ = PR$.

Let us draw a line segment $PS$ perpendicular to $QR$.

$PS$ is the altitude of the triangle.

It can be observed that the length of $QS$ and $SR$ is also the same by measurement.

Thus, $S$ is the midpoint of $QR$.

Therefore, $PS$ is also a median of this triangle.

Here, we observe that altitude $PS$ in an isosceles triangle $PQR$ is also its median.

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Updated on: 10-Oct-2022

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