Find the area of the triangle: A = 51°, b = 11, c = 7.

Triangles are 3-sided polygons that have many applications and interesting properties. They are one of the strongest shapes architecturally.

Answer: The area of the triangle with the given dimensions is equal to 30 sq. units.

Let's understand the solution in detail.

Explanation:

To find the area of the triangle given, we use the formula:

Area = 1/2 × b × c × sin A.

Since sin 51º is not available in the normal trigonometric table, we use a trigonometric calculator to find the value of sin 51.

Using the calculator, we get sin 51º = 0.78.

Hence, 1/2 × 11 × 7 × sin 51º = 29.92 = 30 sq.units (approximating).