The sides of a triangle are equal to integral numbers of units. two sides are 4 and 6 units long, respectively; what is the minimum value for the triangle's perimeter?

Respuesta :

I see it in this way. Suppose the side of 4 units comes as close to the one of 6 units as possible, say on top. The other side would be two units. However, there would be no triangle. We need to 'open' it a bit. Since the sides are integers, the third side can't be 2.00001 units and the next vakue is 3. Then the triangle is 4, 6 and 3 units, so that the perimeter is 6+4+3 = 13 units. Of course, forget about the value of the angles. Clearly is not a right triangle. But no one asks about the angles, so ...
 

Perimeter of triangle is 14 units

Given that;

Two sides of triangle = 4 unit

Another side of triangle = 6 unit

Find:

Perimeter of triangle

Computation:

Perimeter of triangle = Sum of all sides

Perimeter of triangle = (2)(4) + 6

Perimeter of triangle = 8 + 6

Perimeter of triangle = 14 units

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