Calculate Triangle Area: Right Triangle with Base 4 and Height 7

Question

Calculate the area of the triangle using the data in the figure below.

00:00 Calculate the triangle's area

00:03 Apply the formula for calculating triangle area

00:06 (base x height) divided by 2

00:09 Substitute in the relevant values according to the given data and proceed to solve for the area

00:12 This is the solution

To solve for the area of a triangle when the base and height are given, we'll use the formula:

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

Given:

Apply the formula:

$\begin{aligned} \text{Area} &= \frac{1}{2} \times 4 \times 7 \\ &= \frac{1}{2} \times 28 \\ &= 14 \end{aligned}$

Thus, the area of the triangle is $14$ square units.