what is the area of the triangle

Question

height: 2
length: 3

Answer 1

The area of a triangle is calculated by taking the base times the height divided by 2. In this case, we don't have the base, but we can use the Pythagorean theorem to find it.

Let's call the base "b". We know the height is 2, and we have one side with length 3. Using the Pythagorean theorem:

b^2 = 3^2 - 2^2
b^2 = 9 - 4
b^2 = 5
b = sqrt(5)

Now we can calculate the area:

Area = (base x height) / 2
Area = (sqrt(5) x 2) / 2
Area = sqrt(5)

So the area of the triangle is sqrt(5) square units.