36 is a square number as well as a triangle number?
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The info you need is here:\nhttp://www.courseworkhelp.co.uk/A_Level/Maths/2.htm
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definitely 63 square inches. The formula to find the area of a triangle is A=(1/2) x base x height. That is 0.5 times base times height. So, if you plug in the numbers, you get\n0.5 x 14 x 9 square inches\n(0.5 x 14) x 9 square inches\n(7) x 9 square inches\n63 square inches\n\nMake sure that whenever you look for the area of the triangle, the problem tells you that the numbers are the height and base.\n\nYes, 24 is correct.
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You only have about 145 three-digit numbers to test.  The even numbers from 448 to 546 have even squares beginning with 2, from 634 to 706 have even squares beginning with 4, from 776 to 836 have even squares beginning with 6, and from 896 to 948 have even squares beginning with 8.\n\nThe smallest one is 478^2 = 228484, and the largest is 932^2 = 868624.  I would expect there to be 6 or 7 others.
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Let x be the length for the square and 14-x for the triangle.\n\nThe area of the square is (x/4)^2 = (x^2)/16.\n\nThe height of the triangle is sqrt(3)(14-x)/6 and the base of the triangle is (14-x)/3, so the area of the triangle is\n\n1/2 bh = [(14-x)/6] [sqrt(3)(14-x)/6] = (14-x)^2 sqrt(3)/36\n\nTotal area A = (x^2)/16 + (14-x)^2 sqrt(3)/36\n\nA = [9x^2 + 4(x^2 - 28x + 196) sqrt(3)] / 144\n\nA = [(9 + 4 sqrt 3) x^2 - (112 sqrt 3) x + (784 sqrt 3)] / 144\n\ndA/dx = [2(9 + 4 sqrt 3) x - (112 sqrt 3)] / 144 = 0\n\n(9 + 4 sqrt 3) x = 56 sqrt 3\n\nx = (56 sqrt 3) / (9 + 4 sqrt 3) = 6.0895 meters  (Answer)\n\nThe area of the square is 2.32 m^2.  The area of the triangle is 3.01 m^2, and the total area is 5.33 m^2.
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Whether any one likes it or not, the sum of the squares of the sides of a right angled triangle will always like to be equal to the square of the hypotenuse.\n\nPlease, from today say to yourself that I like Pythagoras Theorm. Soon you will begin to like it. It will lead you to many wonders of science
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theorm of Pythagorus states that if one of the angle of triangle is right angle{90degrees} than the hypotenuese square{the side opposite to right angle} is egual to the sum of squares of the sides forming the right angle \ni.e. (Hyp)square =one side square + second side square \n a2=b2+c2
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try these perfect squares:\n\n361 729 4356 5329 841\n\nAll of the above are perfect squares of numbers below 100.
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In a triangle you have 3 angles that add up to 180°.  So an equilateral triangle would each have angles of 60°.\n\nIn a square you have 4 angles that add up to 360°.  So a square would each have angles of 90°.\n\nThe pattern continues for other regular polygons:\nPentagon - 5 angles add to 540° (360° + 180°) so each angle is 108°.\nHexagon - 6 angles add to 720° (540° + 180°) so each angle is 120°, etc.\n\nInterior angles:\nEquilateral triangle --> 60°\nSquare --> 90°\nPentagon --> 108°\nHexagon --> 120°\nSeptagon --> 900°/7 = 128.57°\netc.\n\nThe answer for a square is 90°.
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Draw a picture - a square with corners (0,0), (2,0), (0,2), (2,2), showing the range of possible values for x and y.\nNow, what part of that square has the difference < 1? Its a hexagon to be precise; its the entire square except for a little triangle at the top left, and a little triangle at the bottom right. The two sloping sides go from (0,1) to (1,2) and (1,0) to (2,1).\nThose triangles each have area 1*1/2 = 0.5, so area 1 combined.\nSo the total area left is 4-1 = 3, so the answer is 3/4.
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6*6=36 36*pi=113.04 but if you leave it in pi form its 36pi
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60\n\nThe Babylonian sexagesimal number system, all Pythagorean triples have the property that the product of the 3 sides is a multiple of 60. I lived at a house which was no 60 in its street. And I am now 60.
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"triangular numbers" they're called
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The area of a triangle can be found by multiplying the base times the one-half the height.\n\nIf a triangle has a base of length 6 inches and a height of 4 inches, its area is 6*2=12 square inches
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if the numbers are both under a radical...divide the numbers...put answer under radical...if perfect square or contain a perfect square... simplify\nsqrt(4)/sqrt(2) = sqrt (4/2) =sqrt 2\nsqrt(36)/sqrt(9) = sqrt(36/9)=sqrt 4 =2
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Heron's formula, given above with s= perimeter/2 gives for this triangle (perimeter= 200+220+237) s= 328.5\nSo, s(s-a)(s-b)(s-c) gives 328.5 x 128.5 x 108.5 x 91.5 = 20,471.26437 ^2 and the square root is 20,471.26437.
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Fact or out the x. This leaves 36x^2-84x+49 which is a perfect square (6x-7) so it facotrs to:\n\nx(6x-7)(6x-7)
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26+64 = 90, and a triangle has 180 degrees, so the other angle must be 90.  A triangle with a 90 degree angle is a right-triangle.