Area of a Right Triangle

Consider a triangle with sides of length 3, 4, and 5 units. This triangle is a right triangle because it follows the Pythagorean theorem: $$a^2 + b^2 = c^2$$ where $$c$$ is the longest side. In this case, the sides satisfy the condition:

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

which gives:

$$9 + 16 = 25$$.

Now, let us explore the areas of different triangles. The area of a triangle can be calculated using the formula:

$$ ext{Area} =\frac{1}{2} imes ext{base} imes ext{height}$$

Given that the base and height corresponding to this triangle are 3 and 4, what is the area of the triangle?