Question

Durante uma atividade de Matemática, professora Julieta distribuiu a cada um de seus alunos 4 canudinhos com medidas 2 cm, 3 cm, 7 cm e 8 cm. Nessa atividade, os alunos de Julieta tinham que construir triângulos com esses canudinhos, sem cortá-los.
Quantos triângulos distintos cada um dos alunos de Julieta puderam formar com esses canudinhos?

Answer 1

Answer:

• 2 different triangles

Step-by-step explanation:

• During a mathematics activity, teacher Julieta distributed to each of her students 4 straws measuring 2 cm, 3 cm, 7 cm and 8 cm. In this activity, Julieta's students had to build triangles with these straws, without cutting them.
• How many different triangles could each of Julieta's students form with these straws?

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• Triangle inequality theorem says that no any side of a triangle can be longer or equal to the sum the other two sides

Given measures:

• 2 cm, 3 cm, 7 cm, 8 cm

We see that:

• 2+3 < 7 and 2+3 < 8

Therefore we can't make triangles with the sides of 2 cm, 3 cm and 7 cm or 8 cm

Possible solutions are:

• 2 cm, 7 cm, 8 cm
• 3 cm, 7 cm, 8 cm

So we can make two different triangles