Finding Area of a Right-Angled Triangle
In this tutorial, we will learn how to calculate the area of a right-angled triangle when the base and height are known.
Formula
The area of a right-angled triangle is calculated using the formula:
\[ \text{Area} = \frac{1}{2} \times \text{Base} \times \text{Height} \]
Explanation of Terms:
- Base: One of the perpendicular sides of the triangle.
- Height: The other perpendicular side of the triangle.
- The hypotenuse (the longest side) is not used in this calculation.
Examples
Example 1: Find the area of a right-angled triangle with base = 5 units and height = 12 units.
Given: Base = 5, Height = 12
Substitute the values into the formula:
\[ \text{Area} = \frac{1}{2} \times \text{Base} \times \text{Height} \] \[ \text{Area} = \frac{1}{2} \times 5 \times 12 \]
Now simplify:
\[ \text{Area} = \frac{1}{2} \times 60 = 30 \]
Answer: The area of the triangle is 30 square units.
Example 2: Find the area of a right-angled triangle with base = 7 units and height = 9 units.
Given: Base = 7, Height = 9
Substitute the values into the formula:
\[ \text{Area} = \frac{1}{2} \times \text{Base} \times \text{Height} \] \[ \text{Area} = \frac{1}{2} \times 7 \times 9 \]
Now simplify:
\[ \text{Area} = \frac{1}{2} \times 63 = 31.5 \]
Answer: The area of the triangle is 31.5 square units.