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14. What is the area of the triangle below if the base and height are in meters:

Ask by Mckenzie Schneider. in the United States
Mar 11,2025

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Answer

The area of the triangle is \( \frac{1}{2} \times \text{base} \times \text{height} \) square meters.

Solution

To find the area of a triangle, we can use the formula: \[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \] Given that the base and height are in meters, we can substitute the values into the formula to find the area of the triangle. Simplify the expression by following steps: - step0: Solution: \(\frac{1}{2}baseheight\) - step1: Multiply the terms: \(\frac{1}{2}base^{2}hight\) - step2: Multiply the terms: \(\frac{1}{2}base^{2}h^{2}igt\) - step3: Multiply the numbers: \(\frac{e^{2}}{2}bash^{2}igt\) - step4: Multiply the terms: \(\frac{e^{2}bash^{2}}{2}igt\) - step5: Multiply the terms: \(\frac{e^{2}ibash^{2}}{2}gt\) - step6: Multiply the terms: \(\frac{e^{2}ibash^{2}g}{2}t\) - step7: Multiply the terms: \(\frac{e^{2}ibash^{2}gt}{2}\) The area of the triangle is \( \frac{1}{2} \times \text{base} \times \text{height} \) square meters.

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The Deep Dive

To find the area of a triangle, use the formula: Area = 1/2 × base × height. If you know the measurements of the base and height, simply multiply them together, divide by two, and voila, you've got the area! It’s as straightforward as baking a cake—just make sure to measure twice, cut once! Triangles have been around for millennia! Ancient civilizations, such as the Egyptians and Greeks, utilized the triangle in their architecture and mathematics. The Pythagorean theorem, a classic example, shows how triangles help us understand the relationships between sides. So, next time you encounter a triangle, remember its historical significance in shaping the world around us!

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