Question
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.)
and area of 35 square meters. Find the height
of the triangle.
(NOTE: The image is not drawn to scale.)
Ask by Black Reed. in the United States
Mar 16,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The height of the triangle is 7 meters.
Solution
We know that the area
Given that the base is
Simplify the right-hand side:
Solve for
Thus, the height of the triangle is
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Extra Insights
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!
