Two sides of a triangle and the included angle between them are 4cm,5cm and 30 degrees respectively. What is the area of the triangle ( in sq .cm) (A.10 B.15 C.5 D.20)

Question

Two sides of a triangle and the included angle between them are 4cm,5cm and 30 degrees  respectively. What is the area of the triangle ( in sq .cm) (A.10  B.15  C.5  D.20)

avinaysingh27 · Answer

This uses side angle side methodoly for finding the area and the formula is Area (abSin(C))2 where a and b are the known sides and C is the known angle.. 
For the above problem the answer is 5..

debpriya · Answer

What's the logic behind this formula ?

avinaysingh27 · Answer

The formula is (abSin(C))/2 just put the values of a and b and angle C.. Thats the simple logic..

debpriya · Answer

I meant how did we get this formula ? Any idea ?

avinaysingh27 · Answer

Nopes debpriya. I dont have any idea . Have a nice time.. :D

debpriya · Answer

Okay thank you for your help ! :)