Question

WILL MARK BRAINLIEST!! How many triangles can be constructed with sides measuring 6 cm, 2 cm, and 7 cm? none more than one one

Answer 1

Step-by-step explanation:

Hi✌️✌️

Given that : The sides of the triangle  measuring 6cm, 2cm and 7cm.

We are using : Triangle inequality

The sum of the length of the two sides should be greater than the length of the third side.

So, when we apply this theorem in 6cm,2cm and 7cm

6+2=8>7 , 7+2=9>6 , 7+6=13>2

It satisfy all three possible sets.

Therefore, the given values follows the triangle inequality.

Hence one triangle can be formed.

Therefore, option A is correct.

Answer 2

Step-by-step explanation:

One unique triangle.

All other triangles with side lengths of 6 cm, 2 cm, and 7 cm represent a rigid transformation of the first one. Rigid transformations are translations ( a slide), rotations (a turn), and a reflection (a flip).

There are two big geometry ideas at play here.

Triangle inequality: The sum of any two sides must be greater than the third side. Pick the smallest two, 6 + 2 > 7. This means that a triangle is in fact possible.

Side Side Side congruence postulate: If the three sides in one triangle are congruent to the corresponding three sides in a second triangle the triangles are congruent.

I hope this may help you

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