Please help me with this question.
2 answers:
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Answer:
The length of side XZ should be greater than 10 and lesser than 60.
Step-by-step explanation:
In triangle XYZ ,
As
The length of side XY = 25 mm
The length of side YZ = 35 mm
Range of the third side can be computed when we already know the two sides of the triangle.
If subtracting , the 3rd side would have to be more than 10. Else 3rd side can not be made as two smaller legs will not meet.
and
If adding , the 3rd side would have to be less than 60. Else 3rd side will reach further than the the other two sides could reach.
Therefore, the length of side XZ should be greater than 10 and lesser than 60.
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).
<h3>What is triangle inequality theorem?</h3>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,
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:
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