1. 11.8 Hero’s and Brahmagupta’s Formulas

2. T111:A ∆ = a b c Where a, b, c are length’s of the sides and s = semi-perimeter S = a + b + c 2 Area of a triangle: Hero of Alexandria

3. Find the area of a triangle with sides 3, 6, and 7.

4. A= (3 + 6 + 7)÷2 = 8

5. In 628 AD a Hindu named Brahmagupta discovered a formula for the area of an inscribed quadrilateral. T112: A cyclic quad = Where a, b, c, d are sides of the quadrilateral, and s = the semiperimeter. These are known as cyclic quadrilaterals.

6. Brahmagupta’s Formula Find the area of the inscribed quadrilateral. Show all steps. 7 6 2 9

8. Page 551 #1-6