Pythagoras' Theorem states that for any right angle triangle the height squared plus the base squared is equal to the square of the hypotenuse. In other words, after finding the square of the hypotenuse, square root your answer to find its length. Hence: (8*8)+(6*6)=64+36=100. The square root of 100=10. Therefore the length of the hypotenuse is 10 inches. In Roman numerals: (VIII*VIII)+(VI*VI)=LXIIII+XXXVI=C. The square root of C=X. Therefore the length of the hypotenuse is X inches. David Gambell, Merseyside, England.
a simplified drawing showing the appearance, structure, or workings of something; a schematic representation
Augustus Pythagoras: let the equal sides be 1 unit. The square of the third side, which is the hypotenuse, is equal to the sum of the squares of the other two sides, in this case 12 and 12, a total of 2. The hypotenuse is therefore equal to the square root of two.
Let the sides be x and y:- x+y = 17.5 => y = 17.5-x 0.5*xy = 37.5 => xy = 75 x(17.5-x) = 75 => 17.5x-x2-75 = 0 Solving the above quadratic equation gives x postive values of 10 and 7.5 So the sides are 10 cm and 7.5 cm Using Pythagoras' theorem the length of the hypotenuse works out as 12.5 cm
Such a triangle would be impossible to construct with the given 3 dimensions because in order to construct a triangle the sum of its 2 shortest sides must be greater than the length of its longest side.
Presumably it's a right angle triangle so use Pythagoras' theorem and let the hypotenuse be (x+21.2) the height be (x+18.55) and the base be x:- (x+21.2)2-(x+18.55)2 = x2 If: (x2+42.4x+449.44)-(x2+37.1x+344.1025) = x2 Then: -x2+5.3x+105.3375 = 0 Solving the above by means of the quadratic equation formula gives x a positive value of 13.25 So the dimensions are: hypotenuse 34.45 cm, height 31.8 and base 13.25 cm Area = 0.5*31.8*13.25 = 210.675 square cm
By showing your workings.
a simplified drawing showing the appearance, structure, or workings of something; a schematic representation
Augustus Pythagoras: let the equal sides be 1 unit. The square of the third side, which is the hypotenuse, is equal to the sum of the squares of the other two sides, in this case 12 and 12, a total of 2. The hypotenuse is therefore equal to the square root of two.
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it should be a triangle with no red showing
Let its sides be 3x and 4x If: 0.5*3x*4x = 18.375 Then: 12x^2 = 36.75 => x^2 = 3.0625 => x = 1.75 So sides are: 5.25 cm and 7 cm Using Pythagoras its hypotenuse is: 8.75 cm Perimeter: 5.25+7+8.75 = 21 cm
The Roman numerals for 11 are XI. To find XI cubed first calculate XI squared snd then multiply this by XI which in effect is XI cubed. XI squared = X(XI)+I(XI) Multlplying out the brackets = CX+XI (110+11) When simplified = CXXI (121) XI times CXXI = X(CXXI)+I(CXXI) Multiplying out the brackets = MCCX+CXXI (1210+121) When simplified = MCCCXXXI (1331) Therefore 11 cubed in Roman numerals = MCCCXXXI (1331) David Gambell, Merseyside, England.
Blaise Pascal published the workings of a triangular array showing the relationship between binary coefficients in said triangle. For instance:__________________________________________|.......................................1.........................................||..................................1........1....................................||..............................1.......2........1...............................||..........................1......3........3.......1...........................||......................1......4.......6.......4......1........................||...................1......5.....10....10......5......1...................||...............1......6.....15....20.....15.....6.....1...............||_________________________________________|Each number in the above triangle is the sum of the two numbers right about it.For example, 20 is the sum of 10 and 10, and 2 is the sum of 1 and 1.
a diagram is a simplified drawing showing the appearance, structure, or workings of something; a schematic representation and a picture is a design or representation made by various means
There cannot be a proof because the statement need not be true.
the illuminati shows a giant triangle on a pyramid showing only one eye
I won't explain it in depth but the simple answer is because if you take and identical right triangle then you can arrange them to make a rectangle. I've attached a link to an animation showing it rearranging a triangle to show the relationship.