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Which is the result derived from the pythagorean theorem?
The Pythagorean Theorem, states, that 'for any right angled triangle the hypotenuse squared is equal to the squares of the other two sides'. Algebraically expressed as h^2 = S^2 + s^2 Where 'H' is the hypotenuse, and 'S' and 's' are the other two sides. The classic example is the 3,4,5 triangle. 5^2 = 4^2 + 3^2 25 = 16 + 9 25 = 25
How do you find the length of the legs of an isosceles right triangle when you have the hypotenuse?
Suppose the lengths of the legs is L metres and the hypotenuse is H metres. Then, by Pythagoras, L2 + L2 = H2 that is, 2L2 = H2 Or L2 = H2/2 so that L = H/sqrt(2)
How does the Pythagorean theorem link algebra and geometry?
Well, to put it simply, the Pythagorean theorem is an equation to find the measurement of a side of a triangle.Algebra is basically equations, and geometry is the study and measurement of shapes. The equation is a+b=c.
What is the Pythagorean theorem?
It states that for any right angle triangle that its hypotenuse when squared is equal to the sum of its squared sides.
Equations for hypotenuse?
this 'equation' which solves what the hypotenuse of a triangle is, is called the Pythagoras Theorm ( DISCLAIMER: thisonly work for right angled triangles)it works like this: lets say the horozontial length of the triangle is 6cm and the perpindicular height is 8cm. Because the square of the hypotenus is equal to the sum of the square of the other two sides we can work out the hypotenuse like this bas eon the facts that one side is 8cm long and the other 6cm. Lets call the hypotenuse h 8cm2 + 6cm2 = h2 64 + 36 = h2 100 = h2 square root of 100 = h 10cm = h I hope that this solves your question
The H in HA theorem stands for?
hypotenuse
The H in HL theorem stands for?
hypotenuse
Math terms that begin with h?
Hypotenuse which is part of Pythagoras theorem :D
A right triangle has leg lengths 5 and 12 the length of the triangles hypotenuse h is?
Using Pythagoras' theorem the length of the hypotenuse is 13 units
What descibes the relationship between the length of the legs and the hypotenuse in a right triangle?
They are described by the famous Pythagoras theorem, if "a" and "b" are the legs and "h" the hypotenuse, then h x h = (a x a) + (b x b) Also a = h x sinB (where B is the internal angle (of the triangle) between the hypotenuse and side b and b = h x sinA (where A is the internal angle (of the triangle) between the hypotenuse and side a
How do you find the length of the hypotenuse if the base is 15cm and the height is 8cm?
Use Pythagoras' Theorem : In a right angled triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides. Let H be the hypotenuse then :- H2 = 152 + 82 = 225 + 64 = 289 Then H = √289 = 17cm
One leg of a right triangle measures 6 and the other leg measures 8 how long is the hypotenuse?
The important thing here is that it's a right triangle. Since it is, you can use the Pythagorean theorem. The Pythagorean theorem is as follows... (Length of leg)^2 + (Length of leg)^2 = (Hypotenuse)^2 6^2 + 8^2 = h^2 36 + 64 + h^2 100 = h^2 (Now extract the root from both sides) 10=h
What is the length of the hypotenuse of a right triangle where two sides are 16 units and 12 units long?
From the Pythagorean theorem, if the unknown hypotenuse is called h, h2 = 162 + 122, or h = sq rt (256 + 144) = 20 units. (This is a 3-4-5 triangle enlarged by a factor of 4.)
Math terms that start with h?
half, hypotenuse
How do you find the height of an isosceles triangle if its length is 12m and base 10m?
In a isosceles triangle, the altitude is also a median. If we draw the altitude, then two congruent right triangles are formed, with hypotenuse length of 12m and base length 5 m (10/2). So the length of hypotenuse, by the Pythagorean theorem is h^2 = 12^2 - 5^2 h = √(144 - 25) h = √119 h ≈ 10.9
A right triangle has legs of 9 feet and 12 feet How long is the hypotenuse?
According to Pythagoras's theorem, the square on the hypotenuse is equal to the sum of the squares on the other two sides. So, h2 = 92 + 122 = 81 + 144 = 225 so h= sqrt (225) and since a negative length does not make sense, h = 15 feet.
How do you construct the fourth root of 2?
In a right triangle, the altitude with the hypotenuse as base divides the hypotenuse into two sections p and q. If we denote the length of the altitude by h, we have the relation h2 = p*q (Euklids altitutude theorem). So, first draw the square root of 2 as the diagonal of a square with side length 1, then construct a right triangle with p=1 and q= sqrt(2) by using the Thales theorem and its altitude will be fourth root of 2 according to Euclids theorem.
