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.
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).
Hence, the area of the triangle with the given dimensions is 30 sq. units.