To find the area of a right-angled triangle with given dimensions, we need to follow a few steps. Let’s break it down.
Understanding the Dimensions
- The base of the triangle is given as 5 cm.
- The height of the triangle is given as 11 mm.
Unit Conversion
- Before proceeding, we must ensure that both dimensions are in the same unit.
- Convert 5 cm to millimeters:
- 1 cm = 10 mm, so 5 cm = 5 × 10 = 50 mm.
- Now, the dimensions are:
- Base = 50 mm
- Height = 11 mm
Formula for Area of a Triangle
- The area \( A \) of a triangle is calculated using the formula:
\[ A = \frac{1}{2} \times \text{Base} \times \text{Height} \]
Calculating the Area
- Substitute the values into the formula:
\[ A = \frac{1}{2} \times 50 \, \text{mm} \times 11 \, \text{mm} \]
- Calculate:
\[ A = \frac{1}{2} \times 550 \, \text{mm}^2 \]
\[ A = 275 \, \text{mm}^2 \]
Final Result
- The area of the right-angled triangle is 275 mm².
This area represents the space enclosed within the triangle formed by the base and height provided.