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Q.

The altitude and median of an isosceles triangle are ____.

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Detailed Solution

The altitude and median of an isosceles triangle are same.
We have been given an isosceles triangle.
Draw an isosceles triangle

Δ A B C .

Question Image

We know that a line that is drawn perpendicularly from one vertex of a triangle to the opposite side is defined as the altitude of a triangle.
The median of a triangle is a line segment that bisects one side by connecting a vertex to the opposing side's midway.
Draw the median and altitude of an isosceles triangle.
Let’s draw a line segment AD that is perpendicular to BC, then AD is an altitude for this

Δ A B C

.

Sides AB and AC and median AD of a triangle ABC are class 10 maths CBSE

We can see that the length of BD and DC is also the same.
Therefore, AD is a median of this triangle as well.
Therefore, AD is altitude and also the median of

Δ A B C,

so both are the same.

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