Math Problem Statement
Substitute to find a value of the expression. 1 The area A of a triangle with base b and height h is given by A = 1AT2 bh. Find the area when b = 30 m (meters) and h = 16 m.
Solution
To find the area of the triangle using the given formula , you can substitute the values for the base and height into the formula.
Given:
- meters
- meters
Now substitute these values into the formula:
Calculate the multiplication first:
So, the area of the triangle is (square meters).
Would you like to explore this further or have any questions?
Here are 5 related questions:
- How would the area change if the height was doubled?
- What is the area if the base was 50 meters and the height remained the same?
- How do you derive the formula for the area of a triangle?
- If the base and height are both halved, what would be the new area?
- Can you find the height if the area and base are given?
Tip: Remember that the area of a triangle is always half of the product of its base and height, regardless of the triangle's orientation.
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Math Problem Analysis
Mathematical Concepts
Geometry
Area of a Triangle
Formulas
A = 1/2 bh
Theorems
-
Suitable Grade Level
Grades 6-8