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?

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?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 cm3 cm, 7 cm, 8 cm

So we can make two different triangles

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute:

answer: the slope is equal -1.