Questions: Finding the Area of a Triangle
Use the diagram of the triangle in Figure A to answer the questions.
(Each small square has a side length of 1 mm and an area of 1 mm^2.);
Note: Use a side of the triangle that has a whole number length as the base.
Figure A
What is the length of the base of the triangle? mm
What is the height of the triangle? mm
What is the area of the triangle? mm^2
Round your result to two decimal places as needed.
Transcript text: Finding the Area of a Triangle
Use the diagram of the triangle in Figure A to answer the questions.
(Each small square has a side length of 1 mm and an area of $1 \mathrm{~mm}^{2}$.);
Note: Use a side of the triangle that has a whole number length as the base.
Figure A
What it the length of the base of the triangle? $\square$ mm
What it the height of the triangle? $\square$ mm
What it the area of the triangle? $\square$ $\mathrm{mm}^{2}$
Round your result to two decimal places as needed.
Solution
Solution Steps
Step 1: Find the base of the triangle
The base of the triangle spans 4 squares on the grid. Since each square has a side length of 1 mm, the base of the triangle is 4 mm.
Step 2: Find the height of the triangle
The height of the triangle spans 3 squares on the grid. Since each square has a side length of 1 mm, the height of the triangle is 3 mm.
Step 3: Calculate the area
The area of a triangle is calculated as (1/2) * base * height. In this case, the area is (1/2) * 4 mm * 3 mm = 6 mm².