Here you have a triangle with a base of 10 m and area of 35 square meters. Find the height of the triangle. (NOTE: The image is not drawn to scale.)

To find the height of the triangle, you can use the area formula: Area = (Base × Height) / 2. Given that the area is 35 square meters and the base is 10 meters, you can rearrange the formula to solve for height. So, 35 = (10 × Height) / 2. Multiplying both sides by 2 gives you 70 = 10 × Height. Dividing both sides by 10, you find the height is 7 meters! Now, isn't it fascinating how simple geometry allows us to get precise measurements through formulas? It’s like magic with numbers! Triangles are not just theoretical shapes; they are foundational in architecture, engineering, and even art! For instance, the use of triangular shapes is around us every day—from the design of roofs that need to withstand the loads of snow and rain to the triangular distribution of forces in bridges. So, the next time you see a triangle, remember the important role it plays in our world!