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A Median Of A Triangle Divides It Into Two Triangles Of Equal

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A Median Of A Triangle Divides It Into Two Triangles Of Equal. In the triangles. Median - A line segment that joins the vertice of a triangle to the midpoint of opposite side.

Trigonometric Ratios Triangle Abc Trigonometry Relationship
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The two triangles ABD and ADC have the same area with equal heights and same base lengthsBDDC as D is the midpoint of BC since AD is the median of the triangle 3. Thus median of a triangle divides it into two triangles of equal. Here the total area of ADB area of ADC.

Now as the area of two triangles with same base and which lie between the same parallel or with same vertex is equal Therefore the area of triangles formed by the median will be equal.

A median of a triangle divides the base into two equal parts. Answer verified by Toppr Upvote 0. To show that this is always true we can write a short proof. In the triangles.

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