Login or Sign Up

Ask a New Question

The sides of a parallelogram are 4cm by 5cm and its area is 12cm calculate its angles

area = b h

using 4 as b , then h is 3

smaller angle ... sine is 3/5

larger angle ... 180º minus smaller angle

Did you know?

Did you know that the area of a parallelogram can be calculated using the lengths of its sides? In the case of a parallelogram with sides measuring 4cm and 5cm, and an area of 12cm, you can actually determine the length of its angles. By using the formula A = b × h, where A is the area, b is the base, and h is the perpendicular height, you can rearrange it to find the height: h = A ÷ b. Therefore, the height of this parallelogram would be 12cm ÷ 4cm = 3cm. Since the opposite sides of a parallelogram are equal in length, you can now use the Pythagorean theorem to find the length of the diagonals. This means that the diagonal would be √(4cm² + 3cm²) ≈ 5cm. Now, armed with the height and the diagonal lengths, you can calculate the angles of the parallelogram using trigonometry. Keep exploring and calculating to discover the exact angles of this interesting shape!