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2 years ago

Choose which set or sets the following number belongs to. Be sure to account for ALL sets. √19

Mathematics

1 answer:

Irina-Kira [14]2 years ago

6 0

√19 belongs to a set of irrational number

<h3>Irrational numbers</h3>

Numbers are irrational if they cannot be written as ratios or fractions of two numbers.

Examples of irrational numbers are √2, √3, √5, √11, √21, π, etc.

Since 19 is a prime number that can only be factored by 1 and itself, it is pairless and not in a power of 2.

Therefore, √19 belongs to the set of irrational numbers.

Learn more on irrational numbers here: brainly.com/question/20400557

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Step-by-step explanation:

Let's call B at the base of the triangle and call h at the height of the triangle. Then we know that:

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$h = B-5$ .

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By definition the area of a triangle is:

$A = 0.5Bh$

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$B=\frac{5}{2}\±\frac{15}{2}$

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For this problem we take the positive solution.

$B=10\ cm$

Now we substitute the value of B in the equation to find the height h

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