Check for Right-Angled Triangle

Test if the sides satisfy the Pythagorean theorem: $3^2 + 4^2 = 9 + 16 = 25 = 5^2$. Since $a^2 + b^2 = c^2$, the triangle is a right-angled triangle.

$3^2 + 4^2 = 5^2$

Identify Base and Height

In a right triangle with sides 3, 4, and 5, the two smaller sides represent the base and the perpendicular height.

$b = 3, h = 4$

Calculate the Area

Using the formula for the area of a right-angled triangle, calculate the final value.

$\text{Area} = \frac{1}{2} \times 3 \times 4 = 6$