Question

What is the area of this triangle?

Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

Answer 1

Area of triangle = (1/2)*(side1)(side2)*sin(angle between these sides)

A=(1/2)*12*8 sin(65⁰) ≈ 43.5 cm²

Answer 2

Area of triangle =43.5 square cm.

Explanation:

Given : A triangle with sides 12 cm and 8 cm and angle between them is 65 degree.

To find : Area of triangle .

Solution : We have given two sides to triangle = 12 cm , 8 cm .

Angle between two sides = 65 degree.

Area of triangle =
`(1)/(2) *(ab) (SinC)` ( This formula is used when two sides and the angle in between them are known).

Where , a and b are two sides and C is angle between them .

Now, plugging the values

Area of triangle =
`(1)/(2)*(12*8)(Sin65)` .

Area of triangle =
`(1)/(2)*(96)(Sin65)` .

Area of triangle =43.5 square cm.

Therefore, Area of triangle =43.5 square cm.