Jawaban:
D.8√3
Penjelasan dengan langkah-langkah:
Sifat Perbandingan segitiga sama sisi:
OC:OP=2:1
OA:OQ=2:1
OB:OR=2:1
Diketahui
s = 16
PB = 8
mencari CP, AQ, BR
c²=a²+b² Pitagoras
CB²=PB²+CP²
CP²=CB²-PB²
CP=
[tex] \sqrt{ {16}^{2} - {8}^{2} } [/tex]
=
[tex] \sqrt{192} [/tex]
CP=BQ=AQ = 8√3
mencari OQ,OR,OP
CO:OP = 2:1
OP = OQ =OR
[tex] \frac{1}{3} .8 \sqrt{3} [/tex]
[tex] \frac{8}{3} \sqrt{3} [/tex]
OQ+OR+OP
[tex]3 \times \frac{8}{3} \sqrt{3} [/tex]
[tex]8 \sqrt{3} [/tex]
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Jawaban:
D.8√3
Penjelasan dengan langkah-langkah:
Sifat Perbandingan segitiga sama sisi:
OC:OP=2:1
OA:OQ=2:1
OB:OR=2:1
Diketahui
s = 16
PB = 8
mencari CP, AQ, BR
c²=a²+b² Pitagoras
CB²=PB²+CP²
CP²=CB²-PB²
CP=
[tex] \sqrt{ {16}^{2} - {8}^{2} } [/tex]
=
[tex] \sqrt{192} [/tex]
CP=BQ=AQ = 8√3
mencari OQ,OR,OP
CO:OP = 2:1
OP = OQ =OR
[tex] \frac{1}{3} .8 \sqrt{3} [/tex]
=
[tex] \frac{8}{3} \sqrt{3} [/tex]
OQ+OR+OP
=
[tex]3 \times \frac{8}{3} \sqrt{3} [/tex]
=
[tex]8 \sqrt{3} [/tex]