It's going to be equal distant between enviada see all of a point equal distant between a and b_ are going to sit on a line that looks something like that this is the midpoint of abt so do you going to sit right over here and it's fifteen away from both they and b sold look something like that that distance over their is fifteen and then at this distance this distance over here it is also going to be fifteen given that the area of triangle cd and so the area of triangle cd and this is d so see the and is the triangle that they wanna think about given to the area title cbm maybe expressed as and times of squirted andover p were and and and pr positive integers and an end pr relatively prior to that just means you can simplify and and is not the divisible by the square of any prime so kind and his uh... you've simplify the radical as much as possible find and plus and plus peace researcher unified the area the area of this green triangle of the cd m over here and so if you look at what we can do to figure it out so we could try some of the court it's for some of these points so displayed right over here a is going to be it's excise going to be seven i could rub quarter to cc what i'm doing that could be the x-axis and in this side is on the y_ axis quartet for a would be seven common zero cornett for c_ would be zero com zero and quartet for be would be twenty four so i would be zero twenty four zero twenty-four so the court date four and would just be the average of dna_ so the court it for and the average of zero and seven eighths seven house and the court that four the white cord at governor twenty four and zero is toward alpha that's fair enough now to what we can figure out about the side so you know this is a right triangles or got reaction is always to use the protagonist and we know the side and that side before one of the red in b we could just say that we just know that twenty-four squared plus seven squared is equal to is equaled two a v is equal to a be squared and twenty-four squared is five hundred and seventy-six plus forty-nine is equal to a the squared and a c five seventy six post forty nine if it was plus fifty would give us two five twenty who is a six twenty six points one lesson that's a six twenty five so six twenty five is equal to ab squid aired so it be is going to equal twenty five so a v is equal to twenty five so this distance thus the distance of this big harp on this year's twenty five half of the distance this is going to be twenty-five over too from the dam from mta_ is also going to be twenty-five over to you now the other thing we know the other thing that we know is that am right over here amma right over here and the triangle see and is a nice also leads triangle how do we know that wool and if you look at specs quartet it's excoriate is directly in between the export its for cnn_ seven have since the average this is seven this is the url it's important as writer of this directly above the midpoint of this base over here so this is going to be a nice awfully strangle some after cubic foot the triangle oversold this length this length of the seems useful 'cause this is kind of the base of the area that of the truck the base of the triangle we care about the kind of you this is the base of cd m this is also going to be twenty-five over to you twenty-five rotors i softly strangled this is going to be the same is that because we're symmetric around this right over here so c we know one side of this triangle but if we could figure out decide over here seems pretty straight forward this is going to be a right triangle right over here because in this line from deep dam is going to be perpendicular to a b all of the points that are equal distance between in b are going to be on the line that is perpendicular those perpendicular to ab so this is going to be a right wrangle so we can figure out dm using the protagonist theorem again we get twenty-five over to squared twenty-five over too school where'd plus dm squared plus the and squared plus the and squared is going to be equal to fifteen square is what he called a hypothesis this triangles twenty equal two hundred and twenty five and so what do we get we get dm squared dn squared is equal to to twenty-five minus six twenty five over four sauce for the soul force of two twenty five or four or to twenty-five with for the nominee of the same thing is nine hundred nine hundred over four in the last video actually figure died mistakenly said that it over for was one twenty five agassi boneheaded mistake with the number show up again here so to twenty-five obscene niner over for amra subtract from that six twenty five over four minus six twenty five over four and uh... this is he cool too cian taryn numerator