Pertanyaan

Perhatikan gambar trapesium ABCD! Jika tinggi trapesium ABCD 10 cm dan A E = D E = 6 cm . Maka perbandingan luas △ A C D dan △ A BC adalah...

Perhatikan gambar trapesium ABCD!

Jika tinggi trapesium ABCD $10 cm$ dan $A E = D E = 6 cm$ . Maka perbandingan luas $△ A C D$ dan $△ A BC$ adalah...

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Habis dalam

Klaim

Y. Herlanda

Master Teacher

Mahasiswa/Alumni STKIP PGRI Jombang

Jawaban terverifikasi

Jawaban

perbadingan luas dan adalah .

perbadingan luas triangle A C D

dan

adalah

Pembahasan

Lihat dan Perbandingan Jadi, perbadingan luas dan adalah .

Lihat triangle A E G dan triangle A C D

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator E G over denominator A E end fraction end cell equals cell fraction numerator C D over denominator A D end fraction end cell row cell fraction numerator E G over denominator A E end fraction end cell equals cell fraction numerator C D over denominator A E plus D E end fraction end cell row cell 4 over 6 end cell equals cell fraction numerator C D over denominator 6 plus 6 end fraction end cell row cell 4 over 6 end cell equals cell fraction numerator C D over denominator 12 end fraction end cell row cell 6 C D end cell equals 48 row cell C D end cell equals cell 48 over 6 end cell row blank equals cell 8 space cm end cell end table$

table attributes columnalign right center left columnspacing 0px end attributes row cell Luas space triangle A C D end cell equals cell 1 half a cross times t end cell row blank equals cell 1 half cross times C D cross times t end cell row blank equals cell 1 half cross times 8 cross times t end cell row blank equals cell 4 t end cell end table

table attributes columnalign right center left columnspacing 0px end attributes row cell Luas space triangle A B C end cell equals cell 1 half a cross times t end cell row blank equals cell 1 half cross times A B cross times t end cell row blank equals cell 1 half cross times 24 cross times t end cell row blank equals cell 12 t end cell end table

Perbandingan

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator triangle A C D over denominator triangle A B C end fraction end cell equals cell fraction numerator 4 t over denominator 12 t end fraction end cell row blank equals cell 1 third end cell row blank equals cell 1 space colon space 3 end cell end table$

Jadi, perbadingan luas triangle A C D dan triangle A B C adalah 1 space colon space 3 .