if points a(0,3), b(-2,a) and c(-1,4) are the vertices of right triangle right-angled at a, then find the longest side
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Solution -
A(0,3),B(−2,a),C(−1,a) is right angles triangle at A
AB⊥AC
Slope of AB × slope of AC = -1
−2a−3×−11=−1
a−3=−2
a=1
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