last ninety so let's let me let me redraw are triangle so triangle pcm i could redraw like this i could read right actually nice awfully struggle so we have b c and what is this a will right over here it's going to be art fair that we care about plus a ninety degrees so this angle right here is data data plus ninety degrees and this overhears twenty four this is twenty five over too and this is twenty five over to you if they're using this week a diesel off ko signs to figure out to figure out what data actually is here so listen to that raise a little bit of trig identities but love co side so we get the opposite to the angle squared so we get twenty-four squared twenty-four squared is equal to twenty five over to squared twenty-five over to squared plus twenty five over to squared plus twenty five over to squared minus two times twenty five over too times twenty five over too times of the co-signed of this angle times of misc rollover the cosign data data plus data plus ninety degrees now you're saying hey sal you know this has it in terms of cosign the state a plus side agrees huckabee figure out the side of data that's what we actually care about to figure out the area of the strike a lecture to figure out the height of this triangle and to do that you just have to maker of the realization that we know the trader identity we know the trigger identity the because side of data is equal i want you state archives are overloaded a cosigner acs is equal to sign of nineteen minus x so the co-sign if they don't plus nine degrees so the co-sign of data plus ninety degrees is going to be equal to the sign of preferences ninety minus whatever zern nineteen minus data minus ninety which is are called to the nineties cancel out sign of negative data and will sign a mega date is equal to the negative assigned uh... so this over here simplifies too this is a negative sign the status of the right the scientist data here and then put the negative out here in this becomes a positive so what is a simple fight with twenty-four squared which is five hundred and seventy-six five hundred seventy six is equal to