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What is the length of the hypotenuse of a right angle triangle when its height is 4 cm greater than its base and has an area of 96 square cm showing all details of your work?
Wiki User
∙ 13y ago
In order to find the hypotenuse the height and base must be found first so let the height be (x+4) and the base be x:
1/2*height*base = area
1/2*(x+4)*x = 96 cm2
Multiply both sides by 2:
(x+4)*x = 192
Multiply out the brackets and subtract 192 from both sides hence forming a quadratic equation:
x2+4x-192 = 0
Using the quadratic equation formula gives x a positive value of 12.
So: length = 16 cm and width = 12 cm
Use Pythagoras' Theorem to find the hypotenuse:
162+122 = 400 and the square root of this is 20
Therefore the length of the hypotenuse is 20 cm
Wiki User
∙ 13y ago
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Can you work out the length of the hypotenuse of a right angle triangle with sides VIII and VI inches showing all your workings in roman numerals?
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.
What is the largest angle of a triangle with sides of 5.8cm by 14.1cm by 8.3cm showing work?
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.
What is the proof for showing that the sides of an isosceles right triangle are in the ratio of one to one to the square root of 2?
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.
What is the area of a triangle when its shortest side is less than the other sides by 18.55 cm and 21.2 cm respectively showing brief details of your work?
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
Can you find the dimensions of an isosceles triangle with an area of XII square inches and a height of IV inches showing details of your work?
First find the length of the base: base = area times 2 divided by height base = 12x2/4 = 6 inches An isosceles triangle can be considered as being two right angled triangles joined together. So by halving the length of the base we can use Pythagoras' Theorem to find the hypotenuse: base2+height2 = hypotenuse2 32+42 = 25 square inches. Square root of 25 = 5 inches Therefore the isosceles triangle has two equal sides of V inches and a base of VI inches.
Showing the greater class?
what is the difination of showing the greater class
Can you work out the length of the hypotenuse of a right angle triangle with sides VIII and VI inches showing all your workings in roman numerals?
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.
Which style of art avoided showing too many small details?
Impressionism avoided showing many details.
What is the largest angle of a triangle with sides of 5.8cm by 14.1cm by 8.3cm showing work?
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.
What is the length of the hypotenuse of a right angle triangle when its height is 6 cm greater than its base and has an area of 216 square cm showing details of your work?
In order to find the hypotenuse the length and base must be found first so let the height be (x+6) and the base be x: 1/2*height*base = area 1/2*(x+6)*x = 216 cm2 Multiply both sides by 2 and multiply out the brackets: x2+6x = 432 Subtract 432 from both sides thus forming a quadratic equation: x2+6x-432 = 0 Solving the above equation by means of the quadratic formula gives x a positive value of 18. Therefore: height = 24 cm and base = 18 cm Use Pythagoras' Theorem to find the hypotenuse: 242+182 = 900 and the square root of this is 30 Therefore the length of the hypotenuse is 30 cm.
What is the proof for showing that the sides of an isosceles right triangle are in the ratio of one to one to the square root of 2?
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.
What is the area of a triangle when its shortest side is less than the other sides by 18.55 cm and 21.2 cm respectively showing brief details of your work?
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
Why when the US flag is folded what shape is it?
it should be a triangle with no red showing
Can you find the dimensions of an isosceles triangle with an area of XII square inches and a height of IV inches showing details of your work?
First find the length of the base: base = area times 2 divided by height base = 12x2/4 = 6 inches An isosceles triangle can be considered as being two right angled triangles joined together. So by halving the length of the base we can use Pythagoras' Theorem to find the hypotenuse: base2+height2 = hypotenuse2 32+42 = 25 square inches. Square root of 25 = 5 inches Therefore the isosceles triangle has two equal sides of V inches and a base of VI inches.
What is the hypotenuse and perimeter of a right angle triangle when one side is 14 cm greater than the other side with an area of 240 square cm showing work?
1 Let the sides be x+14 and x 2 So: 0.5*(x+14)*x = 240 which transposes to x2+14x-480 3 Solving the above quadratic equation gives x a positive value of 16 4 Therefore the sides are 30 and 16 5 Using Pythagoras: 302+162 = 1156 and its square root is 34 6 Hypotenuse = 34 cm 7 Perimeter = 34+30+16 = 80 cm
What is the hypotenuse and perimeter of a right angle triangle whose sides are in the ratio of 3 to 4 with an area of 18.375 square cm showing all work?
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
Who would most avoid showing details in a painting?
Impressionists Impressionism
