Pythagoras and True Love SRB
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Pythagoras is a "Mr. Lonelyhearts" columnist for a popular newspaper. He recently
received the following letters. How would you solve these lovebirds' problems?
15a6=c
c=24.4
1. Dear Pythagoras: My girlfriend Roma and I want to elope. But we have a
problem. She lives in a third-floor apartment. There is a 14-foot-wide moat
around the apartment, and Roma's window is 20 feet above the moat. If I
throw a rope up to Roma, she could slide down it and escape. How long a
rope should I buy?
Longingly, Jules
149+
142.c
796=02

Let us find the length of rope Jules will need using the pythagoras theorem .

Width of the moat ( let the moat be the base of this triangle ) = 14 foot

Distance from Roma's window to the boat ( let this be the side of the triangle where the right angle is present ) =20 feet

Then the length of rope needed ( hypotenuse ) =

= Let us name the triangle that is formed as △ ABC . Then ;

In △ ABC :

AB = the width of moat ( leg of triangle ) = 14 foot

BC = The distance from the window to the moat ( base ) = 20 feet

AC = Length of rope needed ( hypotenuse ) =

= AB ² + BC² = AC² ( according to the pythagoras theorem the square on the hypotenuse will be equal to the sum of the squares on the other two legs )

= 14² + 20² = AC²

= 196 + 400 = AC²

= 596 = AC²

= 24 × 24 = AC × AC

= 24 foot = AC = length of rope needed by jules .

Therefore , Jules will need a 24 foot rope so that his girlfriend can slide down and escape from her apartment .

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square

think about it deeply and passionately about this property

i am sorry