Question

what is Pythagoras theorem ?
what is remainder theorem
what is heron's formula

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explain it briefly

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Answer 1

Step-by-step explanation:

${\sf{\bf{\red{Pythagoras theorem࿐}}}}$

• In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

${\sf{\bf{\red{remainder theorem࿐}}}}$

• In algebra, the polynomial remainder theorem or little Bézout's theorem is an application of Euclidean division of polynomials. It states that the remainder of the division of a polynomial f(x) by a linear polynomial {\displaystyle x-r} is equal to {\displaystyle f(r).}

${\sf{\bf{\red{heron's formula࿐}}}}$

• In geometry, Heron's formula (sometimes called Hero's formula), named after Hero of Alexandria, gives the area of a triangle when the length of all three sides are known. Unlike other triangle area formulae, there is no need to calculate angles or other distances in the triangle first.

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Answer 2

What is pythagoras theorem?

Ans. A theorem attributed to pythagoras that the square on the hypotenuse of A right-angled triangle is equal in area to the sum of squares on the other two sides.

What is remainder theorem?

Ans. a theorem in algebra: if f(x) is a polynomial in x then the remainder on dividing f(x) by x − a is f(a).

What is heron's formula?

Ans. Heron's formula is used to find the area of a triangle when we know the length of all its sides. It is also termed as Hero's Formula. Hero of Alexandria was a great mathematician who derived the formula for the calculation of the area of a triangle using the length of all three sides.