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

Question 5 options:

none


one


more than one


Sagot :

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,

,

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.

Answer:

one

took the quiz on k12 and got it right