Which classification best represents a triangle with side lengths 6 cm, 10 cm, and 12 cm? acute, because 62 + 102 < 122 acute, because 6 + 10 > 12 obtuse, because 62 + 102 < 122 obtuse, because 6 + 10 > 12

The given triangle whoe sides are 6cm, 10cm, and 12cm is an obtuse triangle and it can be determine by using pythagorian theorem.

Given :

The side lengths of a triangle are: 6cm, 10cm, and 12cm.

Pythagorian theorem can be used to find out that the triangles are acute or obtuse. According to pythagorian theorem, the sum of square of shorter side is equal to the square of the third side of the right angle triangle.

According to pythagorian theorem:. That is, .

There are some rules to find the triangle is obtuse or acute:

Now, applying pythagorian theorem:

136 = 144

Here, it is clearly observe that 136 <  144 therefore, the triangle is obtuse.

For more information, refer the link given below:

link

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step-by-step explanation:

distance formula is d=√(x2-x1)^2   +   (y2-y1)^2