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HJ bisects IHL, HK bisects JHL, and IHK = 51. Find IHL.

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Median of a triangle means a line segment from a vertex of a triangle to opposite side which divides the opposite side in two equal parts. there can be maximum three medians in a triangle. The point of intersection of medians of triangle is called centroid.

As we know median of a triangle divides it into two triangles of equal area.So Ar (IHJ) = Ar (HJL) = 51 ∴ ( HJ IS THE MEDIAN)

Now HK is the median of JHL.

So,Ar (HKL) =Ar (HKJ) = 51÷2 =25.5

HJ bisects IHL, HK bisects JHL, and IHK = 51. Find IHL.-example-1
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