The sine law

[Dr/ Raghda 2014]

This is an exam for clever student




14) Solve the triangle (s) with , b= 23 cm and a = 47 cm measure of A =123 (this is the SSA case).

15) Solve the triangle(s) with , measure of B =98 a = 62 cm and b = 88 cm.






16) Solve the triangle(s) with a = 100 cm, b = 180 cm measure of A = 26 (this is the S S A case).









17) Solve the triangle(s) with a = 8 cm, b = 10 cm and measure ofA =35 (this is the SSA case).

See number (6), there are two triangles.

Or : .



18) Solve the triangle ABC in which measure of A= 46 30 a = 7.9 cm, b = 13.1 cm.




19) Solve the triangle ABC in which measure a=123 12 a = 101 cm, b = 152 cm.




20) What the relation between the sine law and the length of the radius of the circumcircle of any triangle?




21) Prove that the area of triangle ABC =2r2 sin A sin B sin C where r is the length of the radius of the circumcircle of .
triangle ABC.



22) Prove that the area of triangle ABC=abc/4r , "r" is the length of the radius of the circumcircle of .




23)sinA/ Prove that: S.Area of triangle ABC=1/2 a2 sinBsinC




24)triangleABC What is the surface area of ?




25) ABCD is a parallelogram in which AB = 19.8 cm ,the angle BAC=36,angle ABD=45 , find AC and the surface area of the parallelogram ABCD.




26) In the triangle ABC, its perimeter is 79 cm angle A =32.and B=126, find the length of the diameter of the circumcircle of triangle ABC and the circumference of the circle.

[mehamdkoura]

جزاكم الله خيرا