💯 Maths

# How to do Pythagoras theorem?

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James ShieldsPass Maths GCSE14 students helped

c^2 = a^2 + b^2 Substitute the values of a and b into the equation and this will you c^2. To find the value of c, find the square root of the value of C^2

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James ShieldsPass Maths GCSE14 students helped

Secondly, label the base of the triangle b. Thirdly, label the remaining side of the triangle a. Pythagoras states the following: C^2 = A^2 + b

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James ShieldsPass Maths GCSE14 students helped

Pythagoras theorem relates to right angled triangles. First label the longest side of the triangle, opposite the right angle and known as the hypotenuse, c.

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James ShieldsPass Maths GCSE14 students helped

Pythagoras is relevant to right angled triangles. If you label the longest side, the side opposutr

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Alaa RennoVersatile tutor and undergraduate at University of Sussex157 students helped

Pythagoras theorem is applied to find the length of an unknown side of a right angle triangle when the other two sides are known, The general formula denotes that the square of the hypotenuse is equal to the sum of the squares of the other sides; Mathematically : Label the sides of the right angle triangle; for example; Let a = one of the sides adjacent to the right angle b = the other side adjacent to the right angle c = the hypotenuse ( side facing the right angle ) Then Then formulas are : a^2 + b^2 = c^2 c = square root ( a^2 + b^2) a^2 = c^2 - b^2 a = square root ( c^2 _ b^2) b^2 = c^2 _ a^2 b = square root ( c^2 _ a^2)

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Will WilsonExperienced Tutor | Undergraduate in Mathematics and Philosophy 82 students helped

By far the most famous (or infamous) theorem in mathematics depends on which way you see it. Pythagoras' theorem states if you have any right angled triangle then the square of the hypotenuse is equal to the sum of the square of the two remaining sides. In other words if you square all the sides and add the 2 shorter sides squared it will square of the longest side. As an equation a^2 + b^2 = c^2. Here is my personal checklist every time I do a Pythagoras question: STEP 1: LABEL THE SIDES We have to label the sides of the triangle. The hypotenuse is the longest side. The hypotenuse is also always the opposite side to the right angle. Label the hypotenuse c. The label the other sides a and b. It doesn't matter which one is a and which one is b as long as you are clear which one you have called a and which one b. For ease I usually call the shortest side a and the 2nd shortest b. STEP 2: SUB SIDES INTO THE EQUATION Usually in a Pythagoras question we are looking for the 3rd side length this might be the shortest, 2nd shortest or the hypotenuse. Whichever sides you are given sub those values in and leave the 3rd side as a letter. Example 1: If a=3 and b=4 then a^2 +b^2=c^2 would turn into 3^2+4^2=c^2 Example 2: If a=5 and c=13 then a^2+b^2=c^2 would turn into 5^2+b^2=13^2 STEP 3: SOLVE EQUATION USING ALGEBRA TECHNIQUES Evaluate the squares and rearrange is necessary. Example 1: 3^2+4^2=c^2 so we first evaluate the squares. So 9+16=c^2. So 25=c^2. Now we solve for c and to do so we square root each side to conclude that c=5 Example 2: 5^2+b^2=13^2 so we evaluate the squares. So 25+b^2=169. To get b^2 on its own we have to rearrange. Therefore we take the 25 from the left and take it off the right. So b^2=169-25. So b^2=144. To get b we square root both sides of the equation to get b=12. Hope this helps

Jenit PatelKnowledge is Power86 students helped

Hello Anna, Given a right angle triangle, with some notations say, a = base of triangle b = height of triangle c = hypotenuse of triangle Thus, we apply Pythagorean’s theorem as follows Sum of the squares of base and height of triangle = square of hypotenuse of triangle Here, a^2 + b^2 = c^2 Hope this helps you and make you easy in getting the Pythagorean’s theorem and applying in real world problem wherever finds applicable.

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Ryan LaiPhysics Student at UCL | Past Teaching Experience | Online Tutoring Available539 students helped

The Pythagorean theorem or Pythagoras’ theorem is a relationship between the sides in a right triangle. A right triangle is a triangle where one of the three angles is an 90-degree angle. In a right triangle the sides are called legs and hypotenuse. In a right triangle the relationship between the legs a, b and the hypotenuse is a^2+b^2=c^2, where c is the longest side of the right angled triangle (the hypotenuse).