Pertanyaan

Dari bentuk berikut ini nilai dari a + b adalah…

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Pertama – tama perhatikan segitiga ADE dan ABC Misalkan AD = x

Pertama – tama perhatikan segitiga ADE dan ABC

$begin mathsize 14px style 6 over 12 equals fraction numerator 8 over denominator 14 plus straight a end fraction 1 half equals fraction numerator 8 over denominator 14 plus straight a end fraction 14 plus straight a equals 6 space left right double arrow straight a equals 2 end style$

Misalkan AD = x

$begin mathsize 14px style straight x over 10 equals fraction numerator 6 over denominator begin display style 60 over 7 end style end fraction straight x equals 60 space straight x space 7 over 60 equals 7 fraction numerator 8 over denominator straight x plus straight b end fraction equals fraction numerator 6 over denominator begin display style 60 over 7 end style end fraction fraction numerator begin display style 8 end style over denominator begin display style straight x plus straight b end style end fraction equals 7 over 10 straight x plus straight b equals 80 over 7 straight b equals 80 over 7 minus straight x straight b equals fraction numerator begin display style 80 end style over denominator begin display style 7 end style end fraction minus 7 equals 31 over 7 Jadi comma space straight a plus straight b equals 2 plus 31 over 7 equals 45 over 7 end style$