如附圖,將邊長不等的兩張正方形色紙ABCD與EFGA的一角重疊在一起,若灰色區域的面積為72,且線段DE=5根號26,則線段BE?
回答 (1)
2016-02-18 1:50 pm
令小正方AEFG邊長為b , 大正方ABCD邊長為a , 則
a² - b² = 72
{
a² + b² = (5√26)² = 650
⇒
a² = (650 + 72)/2 = 361
b² = (650 - 72)/2 = 289
BE = a - b = √361 - √289 = 19 - 17 = 2.
a² - b² = 72
{
a² + b² = (5√26)² = 650
⇒
a² = (650 + 72)/2 = 361
b² = (650 - 72)/2 = 289
BE = a - b = √361 - √289 = 19 - 17 = 2.
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https://hk.answers.yahoo.com/question/index?qid=20160218041952AATnHc3