Math Problem Statement
What is the area of the right triangle shown on the grid?
Solution
The image shows a right triangle on a grid where each square represents 1 unit by 1 unit. To find the area of the triangle, we can use the formula for the area of a triangle:
From the grid, we can observe:
- The base of the triangle is 4 units.
- The height of the triangle is 3 units.
Substituting these values into the formula:
The area of the triangle is 6 square units.
Would you like more details or have any questions?
Here are 5 related questions to explore:
- How do you calculate the perimeter of this triangle?
- Can you find the length of the hypotenuse using the Pythagorean theorem?
- How would the area change if the base or height was doubled?
- What is the ratio of the triangle's area to the area of the rectangle formed by the base and height?
- How can you generalize the area formula for any triangle?
Tip: Remember, the area of any right triangle is half the product of the two sides forming the right angle.
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Math Problem Analysis
Mathematical Concepts
Geometry
Area of a Triangle
Formulas
Area of Triangle = (1/2) * base * height
Theorems
Pythagorean Theorem (for potential hypotenuse calculation)
Suitable Grade Level
Grades 6-8