11.8notes April 01, 2016
11.8 Hero's and Brahmagupta's Formula
Escher
11.8notes April 01, 2016
Hero's Formula (Theorem 111)
A = √s(s-a)(s-b)(s-c), where a,b,and c are the lengths of the sides of the triangle and s=semiperimeter =a+b+c.
2
a
c
b
11.8notes April 01, 2016
Find the area of a triangle with sides 4, 7, and 8.
11.8notes April 01, 2016
11.8notes April 01, 2016
Brahmagupta's Formula (Theorem 112)
A = √(s-a)(s-b)(s-c)(s-d), where a,b,c, and d are the sides of the quadrilateral and s=semiperimeter= (a+b+c+d)/2
cyclic quad
a
b
c
d
11.8notes April 01, 2016
Find the area of the inscribed quadrilateral with sides 2, 7, 6, and 9.
11.8notes April 01, 2016
11.8notes April 01, 2016
10
5 7
75
Find the area of the figure to the nearest hundredth.
11.8notes April 01, 2016
(-2,12)
(-2,3)
(15, 5)
Find the area of the triangle.
11.8notes April 01, 2016
55
68
5
Find the area of the pentagon to the nearest tenth.
11.8notes April 01, 2016
13
15
14Find the measures of the three altitudes of the triangle. (Hint: Use Hero's formula to find the area and then use the 1/2bh to find each altitude)
11.8notes April 01, 2016
Which has a greater area, a circle with a circumference of 100 or a square with a perimeter of 100?
11.8notes April 01, 2016
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