Maths - Area
2015-07-25 5:52 pm
A rectangle with width x cm. and length 2x cm. is to be inscribed in a right - angled triangle with hypotenus = 18cm. Find the largest possible value of x.
回答 (2)
2015-07-26 3:02 am
✔ 最佳答案
x^2 + (2x)^2 =18^25x^2=324
x^2=64.8
x=8.05 cm
2015-07-26 10:50:48 補充：
If ABCD is a rectangle. AB of width is x cm. CD of length 2x cm. AC=BD=hypotenuse= 18cm. There are 2 right triangle to a rectangle.
According to the Pythagorean theorem,
AB^2 +CD^2 =AC^2
x^2 +(2x)^2 =18^2
x^2 +4x^2=324
5x^2=324
x^2=64.8
x is nearly 8.05cm
2015-07-27 8:45 am
我計到 x = (36√5)/25
請問是否正確？
請問是否正確？
收錄日期: 2021-04-16 17:08:06
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20150725000051KK00015