Ответ:
Объяснение:
R=(abc): 4S.
S=√p(p-a)(p-b)(p-c)
a) p=(a+b+c)/2=(13+14+15)/2=42/2=21;
S=√21(21-13)(21-14)(21-15)=√21*8*7*6=√7056 =84;
R= (13*14*15) : 4*84 = 2730 : 336=8,125.
***
б) р=(15+13+4)/2 = 16;
S=√16(16-15)(16-13)(16-4)=√16*1*3*12=√576=24;
R=(15*13*4) : 4*24 = 780/96 = 8,125.
в) p=(35+29+8)/2=36;
S=√36(36-35)(36-29)(36-8)=√36*1*7*28=√7056=84;
R=(35*29*8):4*84 = 8120/336= 24 1/6.
г) p=(4+5+7)/2=8;
S=√8*(8-4)(8-5)(8-7)=√8*4*3*1=√96 = 4√6
R=(4*5*7):4*4√6 = 140/4*4√6 = 35 /4√6=8,75√6≈21,43.
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Ответ:
Объяснение:
R=(abc): 4S.
S=√p(p-a)(p-b)(p-c)
a) p=(a+b+c)/2=(13+14+15)/2=42/2=21;
S=√21(21-13)(21-14)(21-15)=√21*8*7*6=√7056 =84;
R= (13*14*15) : 4*84 = 2730 : 336=8,125.
***
б) р=(15+13+4)/2 = 16;
S=√16(16-15)(16-13)(16-4)=√16*1*3*12=√576=24;
R=(15*13*4) : 4*24 = 780/96 = 8,125.
***
в) p=(35+29+8)/2=36;
S=√36(36-35)(36-29)(36-8)=√36*1*7*28=√7056=84;
R=(35*29*8):4*84 = 8120/336= 24 1/6.
***
г) p=(4+5+7)/2=8;
S=√8*(8-4)(8-5)(8-7)=√8*4*3*1=√96 = 4√6
R=(4*5*7):4*4√6 = 140/4*4√6 = 35 /4√6=8,75√6≈21,43.