Hey there! I'm happy to help!
In geometry, a polygon with all equal sides is called an equilateral polygon. You can see the words equal and lateral in that word. Lateral has to do with sides, so the word equilateral literally means "equal sides". How cool!
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Area=1/2 times base times height
for equilateral triangle, if base is x, then height is (x√3)/2
so if base is 6 then height is (6√3)/2=3√3
area is 1/2 times 6 times3√3=3 times 3√3=9√3 sqare inches
The answer is one kilogram. one kilogram is about the same as 2 pounds, while one gram is less than an ounce.
Hope this helps!
Answer:
4 mi/h
Step-by-step explanation:
The distance between the cyclists is the hypotenuse of an isosceles right triangle. The hypotenuse is √2 times the length of the legs in such a triangle, so each cyclist must have ridden 8 miles in 2 hours.
Their speed is (8 mi)/(2 h) = 4 mi/h.
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<em>Additional comment</em>
Consider an isosceles right triangle with leg lengths 1. Then the Pythagorean theorem tells us the length of the hypotenuse is ...
c² = a² +b² . . . square of hypotenuse is sum of squares of legs
c² = 1² +1² . . . . both legs are 1 in our example triangle
c² = 2
c = √2
That is, the hypotenuse is √2 times the leg length.