If the area of the triangle abc is 450 cm2. measure of angle b = 82° , c = 56° , find the value of a.

If the area of the triangle ABC is ,then value of a is 27cm.

Solution:

Given Data:

Area of the triangle ABC is

To Find:

Value of a?

Step 1:

Step 2:

By Law of Sines

Simplify the above expression

 --- eqn 1

Step 3:

Step 4:

Substitute the A, B and C value from the given Data.

Apply the Sin theta respective value.

From the above we finally got the value of "a" which is 27 cm.

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step-by-step explanation: