IB Computer Science



Objectives for the next two lessons:Know the standard labelling of a triangleDerive a formula for the area of any triangle given two sides and the angle between themDerive the Sine RulePractice finding the area of non-right trianglesPractice using the Sine Rule to find unknown angles and sides of non-right trianglesThis is how the sides and angles of a non-right triangle are labelled conventionally:Write two statements describing the pattern of the A's and b's etc when a triangle is labelled in this way.Statement 1: Statement 2: Label this triangle:562610240030199723730600650023810883210560b020000b21058221777365h020000h21052477230140481093718568Write an expression for the area of this triangle:3296093110771A = 00A = Write an expression for h:22991731227455h020000h27352853248660h = 00h = 2399827217741500238169342912700Write an expression for the area of this triangle:18606983247374A = 00A = 23998272177415002381693429127001052195663575A2 = 00A2 = By considering the other two possible altitudes of this triangle, write two other expressions for the area of this triangle.1055370866140A3 = 00A3 = Now write one big equation that shows that each of the three expressions for the area of the triangle is equal to each of the others:A1=A2=A3== By rearranging the equation above, show that the ratio of the sine of an angle to the length of the opposite side is the same for all angles of the triangle. This is known as the Sine Rule.==Interpret your feelings about the Sine Rule:-58420030286500Practice-5853825715000 ................
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