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Question

Find x, if ABC is right-angled at A, where A(4,2,3),B(3,1,8),C(x,1,2).

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Solution

IntheΔABCBC2=AC2+AB2(3x)2+4+36=1+1+25+(4x)2+9+19+6x+x2+40=37+168x+x22x=49+37+16=49+53=4x=2
1239757_1152239_ans_8307a38830b54b178717661a89f40ac4.JPG

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