The lengths of three sides of our triangular park are 65 m, 70 m and 75 m. Let us write by calculating the length of perpendicular drawn from opposite vertex on the longest side.

Given,

In a triangular park length of three sides are AB = 65 m, AC = 70 m and BC = 75 m and AD = x m, is the height of the perpendicular drawn to BC

AD is the perpendicular drawn on the longest side BC

Since all the three sides are different of the triangular park it forms a scalene triangle

Area of a scalene triangle with given three sides

Where a, b, and c are the sides of the triangle

and s (semi perimeter of triangle )

Here,

s = 105 m

Area of triangular park m2

m2

= m2

= 2100 m2

But, Area of triangle

So area of triangle ABC

x = 56 m

Therefore, height of the perpendicular drawn from the vertex opposite to longest side is 56m

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