Question

¿se puede hacer un triangulo con las siguientes medidas:2cm ,3cm ,10cm? ayudenme es para mañana

Answer 1

Não, não podemos fazer um triângulo com os comprimentos dos lados de 2 cm, 3 cm e 10 cm. Isso ocorre porque a soma de 2+3 < 10. (in english: No, we cannot make a triangle with the side lengths of measurement 2 cm, 3 cm, and 10 cm. This is because sum of 2+3 < 10).

What is triangle inequality theorem?

Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.

Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,

$(a+b) > c\\(b+c) > a\\(c+a) > b$

Now, for this case, the sides given are:

• a =2 cm,
• b = 3 cm,
• and c = 10 cm

But we see that:

a+ b = 5 cm which is < c which is of 10 cm.

Thus, these lengths don't satisfy the triangle inequality theorem, and therefore, cannot be sides of any triangle.

Learn more about triangle inequality theorem here:

brainly.com/question/342881

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