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If the small triangles are worth 1, determine the value of the other Tangram pieces.
Be sure to explain your reasoning.
More Challenging Version:
Find the fractional part each tangram piece is of the whole (all 7 pieces).
Now, suppose the large triangles are worth 1/2, determine the value of the other Tangram pieces.
Be sure to explain your reasoning.
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What is the square root of a fraction?
It is another fraction, as well as its negative value.
What is the value of 9 in 59.65 in a fraction?
Its value as an improper fraction is 9/1
How do you work out the value of a triangle?
A triangle does not have any particular value. There are the magnitudes of its size, its angles, its area, its perimeter etc, but no single VALUE.
If a triangle has two side lengths of five and twelve what is the value of the third side?
If the triangle is a right triangle then you can figure the third side called the hypotenuse. Square the first side, square the second side then add them together. Take the square root of that total and that will be the third side. 5^2=25 12^2=144 25+144=169 13x13=169 so the hypotenuse is 13.
Can a triangle exist whose sum of two sides is equal to third side?
No. No Triangle exists where the sum of 2 sides of the triangle is either equal to the third side or is less than the third side.Even, if we consider Right-Angled Triangle, then according to Pythagoras Theorem, c2= a2+b2, where c=Hypotenuse, a and b are the other 2 sides of the triangle. Now, if we consider the minimum +ve value of a and b which is greater than 0, i.e, if we consider a = 1 unit and b = 1 unit, then the value ofc = square-root of (1^2 + 1^2) = square-root of (1 + 1 ) = square-root of (2) which is < than the sum of the value of side a and b. Since the value of square-root is additive in nature, for any +ve value of a and b, this result stands true.Hence, The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the the measure of the third side. This rule must be satisfied for all 3 permutations of the sides. In other words, as soon as you know that the sum of 2 sides is less than the measure of a third side, then you know that the sides do not make up a triangle .Regards,Suvarthi DasBirati, Kolkata-81
