2. Calculate the height of a triangle with base length \( 5,2 \mathrm{~cm} \) and are equal to \( 26,58 \mathrm{~cm}^{2} \). (Round off the answer to 2 decimal places) 3. Calculate the area of earh

To calculate the height of a triangle given the base length and area, you can use the formula for the area of a triangle: \[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \] Given: - Area = \( 26.58 \, \text{cm}^2 \) - Base = \( 5.2 \, \text{cm} \) We can rearrange the formula to solve for height: \[ \text{height} = \frac{2 \times \text{Area}}{\text{base}} \] Substituting the values: \[ \text{height} = \frac{2 \times 26.58 \, \text{cm}^2}{5.2 \, \text{cm}} = \frac{53.16 \, \text{cm}^2}{5.2 \, \text{cm}} \approx 10.21 \, \text{cm} \] So, the height of the triangle is approximately \( 10.21 \, \text{cm} \) (rounded to two decimal places). --- For the area of the Earth, we can use the formula for the surface area of a sphere: \[ \text{Area} = 4 \pi r^2 \] The average radius of the Earth is approximately \( 6,371 \, \text{km} \) or \( 6,371,000 \, \text{m} \). Substituting the radius into the formula: \[ \text{Area} = 4 \pi (6,371,000 \, \text{m})^2 \] Calculating this: \[ \text{Area} \approx 4 \times 3.14159 \times (6,371,000)^2 \approx 510,072,000,000 \, \text{m}^2 \] Converting to square kilometers: \[ \text{Area} \approx 510,072,000 \, \text{km}^2 \] So, the surface area of the Earth is approximately \( 510.1 \, \text{million km}^2 \).