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What letter in the pythagorean theorem is used to represent the hypotenuse?
Wiki User
∙ 12y ago
c is used for this purpose.
Wiki User
∙ 12y ago
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In calculations involving right triangles the hypotenuse is usually represented by what letter?
Using the Pythagorean formula, the hypotenuse is c and the sides a and b. The sides are usually in lower case the angles in upper case. With a right angle triangle the hypotenuse would normally be referred to as "c" though some times it is h
What letter represents the hypotenuse legs?
C
How do you find the length of a diagonal with the perimeter?
If you know the lengths of the four sides that make up the rectangle (I assume this question is referring to a rectangular object) you can use the pythagorean theorem (a^2 + b^2 = c^2) to solve for the length of the diagonal which is represented in the formula by the letter c.
What are 15 geometry terms that all begin with the same letter?
There are hundreds of terms associated with Geometry. A list of sixteen Geometry terms starting with just the letter P are Pythagorean theorem, Pi, pyramid, polygon, parabola, polytope, points, planes, projective geometry, platonic solids, parallel, power center, pedal triangle, prototile, polyhedron, and pseudosphere.
A right triangle has sides whose lengths are consecutive integers Find the lengths of the sides?
The clue in the question here is that you are dealing with a right triangle. If a triangle has a right angle then Pythagoras' theorem can be used to describe the relationship between the lengths of the three sides. Pythagoras' theorem is: a2 + b2 = c2 a and b are used to represent the lengths of the two shorter sides and c the length of the longest side (this side is called the hypotenuse and it will be the one opposite the right angle). If the sides are three consecutive integers they can be described as n, n+1 and n+2. n+2 must be the hypotenuse as this will be the biggest value (the longest side, or c). If we substitute these in to Pythagoras' theorem we get: n2 + (n+1)2 = (n+2)2 This is an equation with one variable (one letter which we do not know). When there is only one thing we do not know in the equation we can solve it by rearranging. So, we can find n, which will be the length of the shortest side, using the method below. n2 + n2 + 2n +1 = n2 + 4n + 4 (by expanding the squared brackets) 2n2 + 2n +1 = n2 + 4n + 4 (by simplifying) n2 - 2n - 3 = 0 (by doing the same to both sides) (n - 3)(n + 1) = 0 (by factorising, you can check this by multiplying the brackets back out) Two things multiplied together will only give you zero if one of them is zero. n - 3 = 0 and n + 1 = 0 will both give solutions which work. n = 3 or n = -1 (by same on both sides) However, n is the length of the shortest side so cannot be negative. n = 3 n +1 = 4 n + 2 = 5 So, the lengths of the three sides must be 3, 4 and 5 . This is a special set of numbers called a Pythagorean triple. They are called this because they fit Pythagoras' theorem and they are all integers. It is a good idea to know some of these for GCSE Mathematics exams. They quite often appear on the non-calculator paper. if you had known this triple already you would not need all the algebra! Another common Pythagorean triple is 8, 15, 17. You may be able to find some others.
What is the pythegorean theorem?
a²+b²=c² The letters a and b represent the two legs of a right triangle and the letter c represents the hypotenuse (longest side, adjacent to right angle). This being said, the two legs squared equal the hypotenuse squared. Finding the square root will give you the hypotenuse length.
Can you explain the Pythagoras theorem?
The theorem is a2+b2=c2 To explain, the legs of a triangle are labeled with a and b, but it doesn't matter which leg is labeled with which letter. The hypotenuse is always labeled with c. The theorem is that the sum of the two leg lengths squared is the square of the hypotenuse.
What is a math word that stars with p?
Pi is a math word that begins with the letter "p". also Pythagorean theorem starts with p.
In calculations involving right triangles the hypotenuse is usually represented by what letter?
Using the Pythagorean formula, the hypotenuse is c and the sides a and b. The sides are usually in lower case the angles in upper case. With a right angle triangle the hypotenuse would normally be referred to as "c" though some times it is h
How can you find the measures of the sides of a triangle?
There are many theories and formulas that can be applied to find the length of each of the sides of a triangle. The most common is the Pythagorean Theorem: a2+b2= c2 . The letters: "a , c" are the two legs. The hypotenuse is the letter "c". For a 30-60-90 triangle you can use a special formula, as well as a 45-45-90 triangle.
What is the proof of the Pythagorean Theorem?
Well, there are many, many proofs of the Pythagorean Theorem. Some sources have as many as 93 proofs. Here is my favorite, but others are listed in the math website in Related Links (below).This is an excerpt from a letter by Dr. Scott Brodie from the Mount Sinai School of Medicine, NY, taken from the first website, proof # 21.The first proof I merely pass on from the excellent discussion in the Project Mathematics series, based on Ptolemy's theorem on quadrilaterals inscribed in a circle: for such quadrilaterals, the sum of the products of the lengths of the opposite sides, taken in pairs equals the product of the lengths of the two diagonals. For the case of a rectangle, this reduces immediately to a² + b² = c².Related LinksA website with 93 proofs of the Pythagorean Theorem. http://www.cut-the-knot.org/pythagoras/index.shtmlAn award-winning applet that demonstrates one of the most famous proofs of the Pythagorean Theorem. http://www.cut-the-knot.org/pythagoras/morey.shtml
The hypotenuse is represented by which letter?
c
What letter represents the hypotenuse legs?
C
In calculations involving right triangles the hypotenuse is usually represented by the lettert?
In Trigonometry, the Hypotenuse is represented by the letter "h".
What letter represents hyptenuse in the pathagorean and theorem?
the letter C
How do you find the length of a diagonal with the perimeter?
If you know the lengths of the four sides that make up the rectangle (I assume this question is referring to a rectangular object) you can use the pythagorean theorem (a^2 + b^2 = c^2) to solve for the length of the diagonal which is represented in the formula by the letter c.
What is a seven letter word that is a conjecture that is proven?
theorem
