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Kamis, 08 Januari 2009

A Trapezoid Problem

Pada waktu mendampingi guru-guru RSBI, saya memberikan sebuah soal trapesium. Soal ini mirip dengan soal jajaran genjang yang telah saya muat sebelumnya. Ternyata untuk menjawabnya, mereka mengalami kesulitan. Mereka tidak tahu apa yang harus dilakukan.

Soal yang saya berikan adalah sebagai berikut:

ABCD adalah sebuah trapesium, dengan AD sejajar BC.
Titik E dan F berturut-turut adalah titik tengah sisi AB dan sisi CD.
Titik P terletak pada garis EF di dalam trapesium tersebut.
Luas segitiga PAB adalah 3 satuan luas, dan luas segitiga PCD adalah 5 satuan luas.
Jika rasio panjang AD dan BC adalah 1 : 3, berapakah luas segitiga segitiga PAD?


Kalau Anda tertarik untuk menjawabnya terlebih dahulu tanpa mengintip jawabannya, tentu akan lebih baik. Tetapi kalau Anda tidak sabar untuk melihat jawabannya, ya sudah, silahkan unduh di sini.

Salam

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