If the distance between A(2,5) and B (a,20) is 7 find a
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Solve by distance formula
√(x1-x2)²,(y1-y2)²
(7,15)= √(2-a)²,(5-20)²
(7,15) = √2²+a²-2(2a), (-15)²
(7,15)= √4+a²-4a , 15
√4+a²-4a =7
4+a²-4a = 49
a²-4a =49-4
a(a-4) = 45
a=45, a-4=45
a=45, a= 45+4
a=45, a=49
√(x1-x2)²,(y1-y2)²
(7,15)= √(2-a)²,(5-20)²
(7,15) = √2²+a²-2(2a), (-15)²
(7,15)= √4+a²-4a , 15
√4+a²-4a =7
4+a²-4a = 49
a²-4a =49-4
a(a-4) = 45
a=45, a-4=45
a=45, a= 45+4
a=45, a=49
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