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.
I don't know the options but I guess it would be something like this:
40,000 < x < 50,000
The amount she has in hand, she can make 4 loaves of bread and 2 batches of muffins.
Hope this will help a lot!
Answer:
see below
Step-by-step explanation:
The sum of the angles of a triangle is 180
x+15 + 2x+8 + 11x+3 = 180
Combine like terms
14x + 26 = 180
Subtract 26 from each side
14x+26-26 =180-26
14x = 154
Divide by 14
14x/14 = 154/14
x=11
<S = x+15 = 11+15 =26
<T = 2x+8 = 2*11+8 = 22+8 = 30
<T = 11x+3 = 11*11 +3 = 121+3 = 124
