A right-angled triangular cloth has perpendicular sides measuring 18 cm and 30 cm. What is its area?

The correct answer is 270 cm².

Step 1: Understand the formula for the area of a right-angled triangle
A right-angled triangle has two sides that meet at a right angle (90°), making them perpendicular to each other. These perpendicular sides serve as the base and height of the triangle. The standard formula to calculate its area is:

$\text{Area}=\frac{1}{2}\times \text{base}\times \text{height}$

Step 2: Identify the given dimensions
From the problem statement, we are given the lengths of the two perpendicular sides:
- Base = 18 cm
- Height = 30 cm

Step 3: Substitute the given values into the formula
Insert the values of base and height into the area equation:

$\text{Area}=\frac{1}{2}\times 18\text{cm}\times 30\text{cm}$

Simplifying step-by-step:
First, take half of 18 cm:

$\frac{1}{2}\times 18=9$

Next, multiply 9 by 30:

$\text{Area}=9\times 30=270{\text{cm}}^2$

Therefore, the area of the right-angled triangular cloth is 270 cm².