8. The base lenght of a -uet triangte is 2 cm . If the avae of the triangle is 84 cm . Find the height of the triangle.
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To find the height of a triangle, you can use the formula for the area of a triangle, which is \( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \). Given that the area is 84 cm² and the base is 2 cm, you can rearrange the formula to solve for height: \[ \text{height} = \frac{2 \times \text{Area}}{\text{base}} = \frac{2 \times 84}{2} = 84 \, \text{cm}. \] So, the height of the triangle is 84 cm! When working with triangles, it’s crucial to double-check your units and calculations. A common mistake is misplacing the decimal point or confusing area and perimeter. Always remember, the base and height must be perpendicular to each other, so take your time visualizing the triangle before diving into the calculations!
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