ICSE Class 10 Answered

ex. 12a q7

Asked by nilesh.dhote74 | 07 May, 2020, 10:35: PM

Expert Answer

TO find the slopes of (i) BC (ii) altitude AD (iii) median AM

Here, A(7, 3), B(4, -1) and C(6, 5)

left parenthesis i right parenthesis space S l o p e space o f space B C equals fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction equals fraction numerator 5 minus left parenthesis negative 1 right parenthesis over denominator 6 minus 4 end fraction equals 6 over 2 equals 3 left parenthesis i i right parenthesis A l t i t u d e space A D space i s space p e r p e n d i c u l a r space t o space s i d e space B C. therefore space S l o p e space o f space A D equals negative fraction numerator 1 over denominator S l o p e space o f space B C end fraction therefore space S l o p e space o f space A D space equals space minus 1 third left parenthesis i i i right parenthesis M space i s space t h e space m i d p o i n t space o f space s i d e space B C rightwards double arrow C o o r d i n a t e s space o f space M space w i l l space b e space open parentheses fraction numerator 4 plus 6 over denominator 2 end fraction comma fraction numerator negative 1 plus 5 over denominator 2 end fraction close parentheses rightwards double arrow M identical to open parentheses 5 comma space 2 close parentheses rightwards double arrow S l o p e space o f space A M equals fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction equals fraction numerator 2 minus 3 over denominator 5 minus 7 end fraction equals 1 half

Answered by Renu Varma | 08 May, 2020, 11:40: AM

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