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Base of triangle is 10km and height is 12km what is the perimeter of this triangle?
Wiki User
∙ 15y ago
There are many different triangles with a base of 10 km and height of 12 km, and they have different perimeters. The smallest perimeter occurs if the third vertex is directly above the midpoint of the base; then the altitude from that vertex divides the triangle into two congruent triangles with sides 5, 12, and (by the Pythagorean theorem) 13. The sides of length 12 are shared, so the perimeter of the triangle is 36 km in this case. If the third vertex is moved to one side but kept at the same height, the perimeter increases; there is no upper bound on the perimeter that can be achieved.
Wiki User
∙ 15y ago
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