A triangle has two sides measuring 8.5 cm and 15 cm. What are the least and greatest whole number possibilities for the third si
1 answer:
Answer:
least number is 7 and greatest number is 23
Step-by-step explanation:
A triangle has two sides measuring 8.5 cm and 15 cm
a=8.5, b= 15cm
To form a triangle , the sides should satisfy the following conditions
a+b>c and a+c>b
Plug in the values
Plug in the values
subtract 8.5 from both sides
So c lies between 6.5 and 23.5
least number is 7 and greatest number is 23
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Using the rational root theorem, it is found that your friend is correct.
<h3>What is the rational root theorem?</h3>- It is a theorem that states that for a polynomial with integer coefficients, with q being the factors of the leading coefficient and p being the factors of the constant, every <u>possible rational root</u> is the format
.
In this problem:
- The leading coefficient is 1, hence it's only factor is
, thus guaranteeing that every possible rational zero is an integer, which means that your friend is correct.
To learn more about the rational root theorem, you can take a look at brainly.com/question/10937559