Calculate the area of the triangle.
Understand the Problem
The question is asking to calculate the area of a right-angled triangle given its base and height. The area can be determined using the formula: Area = 0.5 * base * height.
Answer
The area of the triangle is \(70 \, \text{cm}^2\).
Answer for screen readers
The area of the triangle is (70 , \text{cm}^2).
Steps to Solve
- Identify the base and height
For the right-angled triangle, we can see that the base is 10 cm and the height is 14 cm.
- Apply the area formula
The formula for the area of a triangle is given by:
$$ \text{Area} = 0.5 \times \text{base} \times \text{height} $$
Substituting the values of base and height:
$$ \text{Area} = 0.5 \times 10 , \text{cm} \times 14 , \text{cm} $$
- Calculate the area
Now, compute the multiplication:
$$ \text{Area} = 0.5 \times 10 \times 14 = 5 \times 14 = 70 , \text{cm}^2 $$
The area of the triangle is (70 , \text{cm}^2).
More Information
The area calculation for a triangle is a fundamental concept in geometry, particularly when dealing with right-angled triangles. This method can be used for any triangle as long as the base and height are known.
Tips
Taking the wrong dimensions as base and height; always ensure that you correctly identify these parameters. Additionally, forgetting to multiply by 0.5 is a common error when using the area formula.
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