Aut10.2.11 - Use the Formula 1/2absinC to Find the Area of a Triangle (1) PDF

1) Calculate the area of the triangle. B cm cm cm A C cm 2) Calculate the height of the triangle. B cm 30° A C cm 1) Cal...

1) Calculate the area of the triangle. B cm cm cm A C cm 2) Calculate the height of the triangle. B cm 30° A C cm 1) Calculate the area of the triangle. B Area of a triangle cm cm cm A C cm2 cm 2) Calculate the height of the triangle. sin B H sin cm h O sin 30° A C cm cm Calculate the area of this triangle. B cm A C cm Area of a triangle Area of a triangle Area of a triangle cm2 How could we work out the area of this triangle? B Have a cm think 𝑐 O 𝑎 H h 30 ° A C 𝑏 cm sin InArea general… Area cm2 sin sin Area sin cm Area Given a triangle like this we can write the formula for the area as… B 𝑐 𝑎 A C 𝑏 Area sin The area of a triangle is equal to half the product of two of the sides and the sine of the included angle. Mo has calculated the area of this triangle. 1 5 ° Here is his working. Area sin cm cm Area sin 38° Area cm2 Explain the mistake Mo has made. Area sin The area of a Have ais equal to triangle Area sin think half the product of Area cm2 two of the sides and the sine of the included angle.  Have a go at questions 1 to 4 on the worksheet The area of the triangle is m2. Have a Calculate the size of angle. think Area sin 𝜃 m sin m sin sin The area of a different triangle is cm2. Have a Calculate the length of. think Area sin 110° sin sin cm The diagram shows sector EOF. Have a EF is a chord. think Area of sin Find the area of the shaded region. triangle F sin cm2 E Area of cm sector 60° cm2 O Area of shaded¿13.090 −10.825 region Have a go at the rest of the questions on the worksheet