Find the area of a triangle whose base is 10 cm and height is 8 cm.
Understand the Problem
The question asks us to find the area of a triangle given its base and height. We can use the formula for the area of a triangle, which is A = (1/2) * base * height, where A is the area, base is the length of the base, and height is the perpendicular height.
Answer
$35 \text{ cm}^2$
Answer for screen readers
The area of the triangle is $35 \text{ cm}^2$.
Steps to Solve
- Write down the formula for the area of a triangle
The area $A$ of a triangle is given by the formula: $$ A = \frac{1}{2} \times \text{base} \times \text{height} $$
- Substitute the given values into the formula
We are given that the base is 10 cm and the height is 7 cm. Substituting these values into the formula, we get: $$ A = \frac{1}{2} \times 10 \text{ cm} \times 7 \text{ cm} $$
- Calculate the area
Multiplying the numbers, we have: $$ A = \frac{1}{2} \times 70 \text{ cm}^2 $$ $$ A = 35 \text{ cm}^2 $$
The area of the triangle is $35 \text{ cm}^2$.
More Information
The area of a triangle is always measured in square units, since area represents the two-dimensional space enclosed by the triangle.
Tips
A common mistake is forgetting to multiply by $\frac{1}{2}$ in the area formula. Another mistake is using the wrong units or forgetting to include the units in the final answer. Also, students may confuse area and perimeter formulas.
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