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The area of a triangle equals one-half the product of the length of a side and the length of the altitude to that side. (A proof of this theorem is given in 16.)



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For this book and its examples, we focus on and use CSS2 The complete CSS2 speci cation (and any updates) can be found at http://wwww3org/TR/CSS2/ One big issue, and hopefully one that will calm down a bit, is the issue of browser compatibility The main players in the browser wars are Microsoft Internet Explorer 55+ and Netscape Navigator 60+ In addition, there are a couple of other browsers that should be considered for their strong XML and CSS support: Opera 5 and the Amaya browser All these browsers o er a mixed and varied bag of native XML support, but by incorporating CSS, they all have a greater success in presenting XML We assume that browsers will continue to evolve toward the speci cations as opposed to away from them, and our examples are based on the current crop of user agents just mentioned.

Fig. 9-8





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9.4 Area of a triangle Find the area of the triangle in Fig. 9-9.

Fig. 9-9

(b) Partnership Capital Statement Blue Gray Capital, 1/1/01 25,000 20,000 Add: Net Income 7,500 7,500 Capital, 12/31/01 32,500 27,500 Stockholders Equity Statement Common Stock $100 par (450 shares authorized and issued) Retained Earnings Stockholders Equity

1 2 bh 1 2 (15)(4)

9.5 Formulas for the area of an equilateral triangle Derive the formula for the area of an equilateral triangle (a) whose side has length s; (b) whose altitude has length h.

Fig. 9-10

1 2 s 23.

1 1 2 s(2 s 23)

2h 23

Total 45,000 15,000 60,000

9.6 Area of an equilateral triangle In Fig. 9-11, find the area of (a) an equilateral triangle whose perimeter is 24; (b) a rhombus in which the shorter diagonal has length 12 and an angle measures 60 ; (c) a regular hexagon with a side of length 6.

Fig. 9-11

1 2 4 s 23 1 4 (64) 23

16 23.

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(b) Since m/A 60 , ^ADB is equilateral and s d 12. The area of the rhombus is twice the area of 2 A 1 B (144) 23 72 23. ^ABD. Hence A 2 A 1s2 23 B 4 4 (c) A side s of the inscribed hexagon subtends a central angle of measure 1(360 ) 6 60 . Then, since OA OB radius R of the circumscribed circle, m/OAB m/OBA 60 . Thus ^ AOB is equilateral. 6 A 1 B (36 23) 54 23. Area of hexagon 6(area of ^AOB) 6 A 1s2 23 B 4 4

Before you can apply CSS to XML, we should address some of the terms and concepts used to create style sheets A CSS style sheet provides additional (and, in the case of XML,) all presentation information for the documents to which it is applied This information is based on the elements or class of elements used in the content of the document Most (if not all) of the CSS concepts apply to HTML and the Extensible Hypertext Markup Language (XHTML) as well as to XML..

The area of a trapezoid equals one-half the product of the length of its altitude and the sum of the lengths of its bases. (A proof of this theorem is given in 16.) Thus if h 20, b 27, and b 23 in Fig. 9-12, then A 1(20)(27 23) 500. 2

The area of a trapezoid equals the product of the lengths of its altitude and median. Since 1 br) and m 1 (b b ), A hm. 2 h(b 2

45,000 15,000 60,000

Fig. 9-12

9.7 Area of a trapezoid (a) Find the area of a trapezoid if the bases have lengths 7.3 and 2.7, and the altitude has length 3.8. (b) Find the area of an isosceles trapezoid if the bases have lengths 22 and 10, and the legs have length 10. (c) Find the bases of an isosceles trapezoid if the area is 52 23, the altitude has length 4 23, and each leg has length 8.

See Fig. 9-13.

Fig. 9-13

1 2h

(3.8

2.7) 10)

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