Question

How many triangles can be constructed with sides measuring 7 cm, 6 cm, and 9 cm?

Answer 1

Answer: Only one triangle is possible.

Step-by-step explanation:

Triangle inequality says that if sum of any two sides of the traingle is greater than the third side, then the triangle is possible.

Here,

$7+6=13>9\\6+9=15>7\\7+9=16>6$,

Therefore, a triangle is possible with the given measurements,

Let us assume there is another triangle with same measurement with same measurements 7 cm, 6 cm, and 9 cm.,

By SSS congruency criteria both the triangles will be congruent.

Thus, all triangles with same measurement will be congruent to each other.

Hence, only one triangle is possible.