The diagram below is drawn on a one-centimeter grid. Work out the area of the shaded triangle.
Answer (1)
To find the area of a shaded triangle on a one-centimeter grid, we can use the formula for the area of a triangle: Area = 2 1 × base × height .
Here's how you can solve it step-by-step:
Identify the Base and Height:
Look at the triangle on the grid and choose a side to be the base. Measure the length of this base in centimeters.
The height of the triangle is a perpendicular line from the base to the opposite vertex. Measure this line in centimeters.
Calculate the Area:
Use the base and height you determined to plug into the formula. Suppose the base measures b centimeters and the height measures h centimeters, then the area A is given by:
A = 2 1 × b × h
Compute the Result:
Multiply the base by the height, then divide by 2 to find the area in square centimeters.
This approach ensures accurate calculation of the area of the triangle, utilizing the grid for precise measurements of the base and height. If further assistance or example calculations are needed, feel free to ask!
