Question

The lengths of two sides of a triangle are 6 cm and 4 cm and the angle between them is 130 degree. What is its area?​

Answer 1

Step-by-step explanation:

Area = 1/2 base * height.

Let the side of length 6 be the base.

Extend it so you can drop an altitude from the end of side with length 4.

Now you have a right triangle with

• hypotenuse=4

• base angle = 50°. (180-130).

So, the height is given by

• h/4 = sin(50)

• h = 3.06

So, the area is 1/2 * 3.06 * 6 = 9 (approx)