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Pavel [41]
4 years ago
8

]The Pythagorean theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the hypote

nuse by the formula a2 + b2 = c2.
If a is a rational number and b is a rational number, why could c be an irrational number?

The square of rational numbers is irrational, and sum of two irrational numbers is irrational.

The product of two rational numbers is rational, and the sum of two rational numbers is irrational.

The left side of the equation will result in a rational number, which is a perfect square.

The left side of the equation will result in a rational number, which could be a non-perfect square.
Social Studies
1 answer:
Molodets [167]4 years ago
4 0

Answer:

The left side of the equation will result in a rational number, which could be a non-perfect square.

Explanation:

According to the Pythagorean theorem, the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.

Take a=2,b=5

a^2+b^2=2^2+5^2=4+25=29

As a^2+b^2=c^2, c^2=29

Here, 29 is not a perfect square.

So, c is irrational.

If a is a rational number and b is a rational number, c could be an irrational number as the left side of the equation will result in a rational number, which could be a non-perfect square.

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Heuristics are often described as mental shortcuts. The failing to consider the law of large numbers most likely results in errors concerning the representativeness heuristic.

  • Representativeness heuristic is simply known to be the act of approximating the probability of an event by contrasting it to an existing prototype that may have been existing in our minds.

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See full question below

Failing to consider the law of large numbers most likely results in errors concerning

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d. utility

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