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Dr. Charles Simonyi is the Father of Modern Microsoft Excel                                           JavaScript was originally developed by Brendan Eich of Netscape under the name Mocha, later LiveScript, and finally renamed to JavaScript.                                           The word "Biology" is firstly used by Lamarck and Treviranus                                           Hippocrates (460-370 bc) is known as father of medicine.                                           Galene, 130-200 is known as father of Experimental Physology                                           Aristotle (384-322 BC) is known as Father of Zoology because he wrote the construction and behavior of different animals in his book "Historia animalium"                                           Theophrastus(370-285 BC) is known as father of Botany because he wrote about 500 different plants in his book "Historia Plantarum".                                           John Resig is known as Father of Jquery -                                          HTML is a markup language which is use to design web pages. It was invented in 1990 by Tim Berners-Lee.                                                                The Google was founded by Larry Page and Sergey Brin.                                                                Rasmus Lerdorf was the original creator of PHP. It was first released in 1995.                                                               Facebook was founded by Mark Zuckerberg                                                               Bjarne Stroustrup, creator of C++.                                                                Dennis Ritchie creator of C                                                                                                                              James Gosling, also known as the "Father of Java"                                          At 11.44%, Bihar is India's fastest growing state                                          Father of HTML -Tim Berners Lee                                          orkut was created by Orkut Büyükkökten, a Turkish software engineer                    Photoshop: It came about after Thomas Knoll, a PhD student at the University of Michigan created a program to display grayscale images on a monochrome monitor which at the time was called 'Display'.

Area of a Trapezoid


The area of a polygon is the number of square units inside that polygon. Area is 2-dimensional like a carpet or an area rug.
A trapezoid is a 4-sided figure with one pair of parallel sides. For example, in the diagram to the right, the bases are parallel. To find the area of a trapezoid, take the sum of its bases, multiply the sum by the height of the trapezoid, and then divide the result by 2, The formula for the area of a trapezoid is:[IMAGE]
  or  
where is ,  is ,  is the height.and · means multiply.

Each base of a trapezoid must be perpendicular to the height. In the diagram above, both bases are sides of the trapezoid. However, since the lateral sides are not perpendicular to either of the bases, a dotted line is drawn to represent the height.
In Examples 1 and 3 below, the height is a side of the trapezoid since it is perpendicular to the base. In Example 2, the lateral sides are not perpendicular to the base, so a dotted line is drawn to represent the height.
Example 1:Find the area of a trapezoid with bases of 10 inches and 14 inches, and a height of 5 inches.[IMAGE]
Solution:
 A =  · (10 in + 14 in) · 5 in
A =  · (24 in) · (5 in)
A =  · 120 in2
A = 60 in2
Example 2:Find the area of a trapezoid with bases of 9 centimeters and 7 centimeters, and a height of 3 centimeters.[IMAGE]
Solution:
 A =  · (9 cm + 7 cm) · 3 cm
A =  · (16 cm) · (3 cm)
A =   · 48 cm2
A = 24 cm2
Example 3:The area of a trapezoid is 52 square inches and the bases are 11 inches and 15 inches. Find the height. [IMAGE]
Solution:
 52 in2 =   · (11 in + 15 in) · 
52 in2 =   · (26 in) · 
52 in2 = (13 in) · 
52 in2 ÷ (13 in) = 
= 4 in
Summary:To find the area of a trapezoid, take the sum of its bases, multiply the sum by the height of the trapezoid, and then divide the result by 2, The formula for the area of a trapezoid is:[IMAGE]
 
  or  
 
where is ,  is ,  and is the height.

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