Pythagora's Theorem

by SuperMario
Last updated 7 years ago

Discipline:
Math
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Pythagora's Theorem

Pythagora's Theorem=Squareroot of Square of one side plus square of the other side;Squareroota^2+b^2 where a and b is 2 different sides and c is the hypotenuse

Pythagora's Theorem is always asked in our papers!But,think carefully,what is the use of it?If we are to build a bridge across a square valley, and we are also asked to pay $1 for every 4m^2, it can be easily applied in real life. If one side of the square valley is 10km and we are asked to build a bridge with width of 2m, we must first find the hypotenuse of the valley,which is squareroot10^2+10^2=14.14213562We then need to build it 2 metre wide,so we multiply it by 0.002,which gives us 28284.27125 m^2. We need to pay $1 for every 4m^2,so we must find out how many 4m^2,which it to divide it by 4,which gives us approximately 7071. So,we must pay $7071 to make the bridge

To simplify,it is a^2+b^2=c^2

ExampleWhat is the hypotenuse of a rectangle with length of 8cm and breadth of 6cm?Solution!Squareroot 8^2+6^2=10Ans:10 cm

Real Life SituationImagine you are a worker. Your boss asked you to build a pathway across a rectangular park of 400 by 300 m. You are asked to build a pathway with width of 1.5m . But,the thing is that,you need to pay $1 for every 10m^2 of material used. You are shorthanded,so you borrowed some money from your boss,but the question is,how much should you borrow?We must first calculate the length of the pathway,which is to find the hypotenuse,which is Squareroot 400^2+300^2=500. Next,you must find the area of the pathway,which is to multiply by 1.5,this gives us 750m^2. $1 for every 10m^2,so we must calculate how many 10m^2 is there,so we divide,which gives us 75 10m^2.We need $1 for every 10 m^2,so we multiply by 1.So,you need to borrow $75 from your boss to buy the materials needed.This is how we can use Pythagora's Theorem in real life


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