Pertanyaan

Perhatikan gambar berikut. Pada kubus ABCD.EFGH, diketahui AB = p , AD = q , dan AE = r . Maka CF = ....

Perhatikan gambar berikut.

Pada kubus ABCD.EFGH, diketahui $AB = p, AD = q$ , dan $AE = r$ . Maka $CF = ....$

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Jawaban terverifikasi

Pembahasan

Perhatikan bahwa Perhatikan bahwa . Sehingga Perhatikan bahwa dan . Sehingga

Perhatikan bahwa

begin mathsize 14px style CF with rightwards arrow on top equals CB with rightwards arrow on top plus BF with rightwards arrow on top end style

Perhatikan bahwa begin mathsize 14px style CB with rightwards arrow on top equals negative BC with rightwards arrow on top end style . Sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell CF with rightwards arrow on top end cell equals cell CB with rightwards arrow on top plus BF with rightwards arrow on top end cell row blank equals cell negative BC with rightwards arrow on top plus BF with rightwards arrow on top end cell end table end style
Perhatikan bahwa begin mathsize 14px style BC with rightwards arrow on top equals AD with rightwards arrow on top end style dan begin mathsize 14px style BF with rightwards arrow on top equals AE with rightwards arrow on top end style . Sehingga