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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.
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What does the word diagram mean?
a simplified drawing showing the appearance, structure, or workings of something; a schematic representation
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 3 sided shape with 1 pair of perpendicular lines?
A 3-sided shape with 1 pair of perpendicular lines is called a right triangle. In a right triangle, one of the angles is a right angle, which means it measures 90 degrees. The side opposite the right angle is called the hypotenuse, while the other two sides are called the legs. The perpendicular lines in a right triangle are formed by the legs meeting at a right angle.
What is the length of the hypotenuse of a right angle triangle whose sides add up to 17.5 with an area of 37.5 square cm showing work?
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
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.
How can you get points on extramarks?
By showing your workings.
What does the word diagram mean?
a simplified drawing showing the appearance, structure, or workings of something; a schematic representation
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.
Schematic representation, a simplified drawing showing the appearance, structure, or workings of something?
Bold words Caption Diagrams Glossary
Why when the US flag is folded what shape is it?
it should be a triangle with no red showing
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
Fill in the blank The sine ratio relates the length of the leg opposite the angle in question to the length of the?
Hypotenuse, honey. It's like the diva of right triangles, showing off that ratio with style. So, if you wanna find out how long that leg is compared to the hypotenuse, just call up the sine ratio and let it do its thing.
What is 3 sided shape with 1 pair of perpendicular lines?
A 3-sided shape with 1 pair of perpendicular lines is called a right triangle. In a right triangle, one of the angles is a right angle, which means it measures 90 degrees. The side opposite the right angle is called the hypotenuse, while the other two sides are called the legs. The perpendicular lines in a right triangle are formed by the legs meeting at a right angle.
How do you find 11 cubed in roman numerals showing all your workings?
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.
Is a diagram and a picture the same thing?
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
What is Pascal's triangle?
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.
What is the proof showing that the heights of a triangle are concurrent?
There cannot be a proof because the statement need not be true.
