Pythagoras' theorem states that for any right angled triangle the length of the hypotenuse when squared is equal to the sum of the length of the base plus the length of the height when both are squared: base2+height2 = hypotenuse2
The altitude/height of an equilateral triangle can be calculated by taking the perpendicular bisector of any side. This line will bisect its opposite angle forming two congruent right angled triangles. The side length of the original equilateral triangle is the hypotenuse and the short leg of right angled triangle is half the hypotenuse. By Pythagoras' Theorem : 42 = 22 + L2.........where L is the length of the altitude. L2 = 42 - 22 = 16 - 4 = 12 L = √12 = 2√3 = 3.464 (3dp)
It can be any length greater than 6 cm and less than 20 cm.
False because in any right angle triangle Pythagoras' theorem states that a^2 +b^2 = c^2 whereas 'a' and 'b' being the legs of the triangle with 'c' as its hypotenuse
Yes it is.
Pythagoras determined that the length of any side of a(n) _____ is based on the length of its other two sides.
right triangle
Pythagoras' theorem states that for any right angle triangle that its hypotenuse when squared is equal to the sum of its squared sides.
One side is not enough. For a right triangle the third side can be calculated by Pythagoras' Theorem if you know the length of any two sides.
Pythagoras theorem simply tells you the length of a side of a Right Angled Triangle if the other two sides are given. You only need the length of any two sides to calculate the length of the third onePythagoras theorem:Hypotenuse2 = base2 + perpendicular2
Pythagoras' theorem states that for any right angled triangle the length of the hypotenuse when squared is equal to the sum of the length of the base plus the length of the height when both are squared: base2+height2 = hypotenuse2
That depends how exactly the measurements of the sides are - and how exactly the "right angle" is really a right angle. If the measurements are exact, then, yes, you can also calculate the diagonal exactly - using Pythagoras' Theorem..................................................................................................................................Improved Answer:No it's not possible to find the accurate length of the diagonal of any square using Pythagoras' theorem because the answer will always be an irrational number which can never be determined just like the value of pi in a circle.
Multiply (the length of any side) by (the length of any side).
diagonal can only be found if two sides are known, imagine if you only have one known side ,the other side could be of any length and therefore the diagonal could be any length. if two sides are known then use pythagoras, as the two sides make up the 'adjacent' and 'opposite' side of a right angled triangle e.g. side a=2, side b=4 side c is square root of 2x2 plus 4x4 i.e root of 4+ 16=20 which is approx 4.47
Multiply the length of any side (they are all equal) by the perpendicular distance between a pair of parallel sides (either pair).
The purpose is so that on any right triangle, you can figure out how long the length of one of the sides are by multiplying each other side by themselves, adding them together, and then finding the square root of that number.
If the hexagon isn't regular, then the formula is: Perimeter = (side-1 length)+(side-2 length)+(side-3 length)+(side-4 length)+(side 5 length)+(side-6 length) If the hexagon is regular, then the formula is: Perimeter = 6 x (length of any side)