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 given dimensions is 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 51 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 51 = 0.78.
Hence, 1/2 × 11 × 7 × sin 51 = 29.92 = 30 sq.units (approximating).