The area of the triangle formed by his path is 34971.98 ft sq to the nearest hundredth.
<h3>What is the Heron's formula?</h3>
The Heron's formula is given as;
√s(s-a)(s-b)(s-c)
where s is half the perimeter of the triangle
WE have been given that horse gallops 200ft, turns and trots 350ft, turns again and travels 410ft to return to the point he started from.
Perimeter of the triangle is given as = 200 + 350 + 410 = 960 ft
Semi perimeter = 960 ft/ 2 = 480 ft
Area = √s(s-a)(s-b)(s-c)
Area = √480 (480 -200)(480 -350)(480 -410)
Area = √480 (280)(130)(70)
Area = √480 (2548000)
Area = 34971.98
The area of the triangle formed by his path is 34971.98 ft sq to the nearest hundredth.
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The complete question is
A horse gallops 200ft, turns and trots 350ft, turns again and travels 410ft to return to the point he started from. What is the area of the triangle formed by his path? round to the nearest hundredth.
Answer:
Hello Adam here!
Step-by-step explanation:
The numbers that are represented by decimal numerals are the decimal fractions (sometimes called decimal numbers), that is, the rational numbers that may be expressed as a fraction whose denominator is a power of ten.
Hope This Helps From, Adam :)
6xy -3x -8y +4
3x (2y - 1 ) - 4 (2y -1)
(2y-1) (3x-4)
Remember a rational number is a number that can be written with two whole numbers in a fraction, for example, 0.25 can be written as 1/4 notice how, both, the numerator and denominator are whole numbers AKA Integers(numbers that aren't decimals or fractions).
any number that can't be written by whole numbers in the numerator or denominator is an irrational number, things like Pi, Pi cannot be written by two whole numbers in the fraction.
50.652, is definitely rational because the fraction does not need decimal numbers in the numerator or denominator.
it can be written as:

or

notice how neither the numerator or denominators are decimals?