Calculate Triangle Area: Using Height 9 and Base 8 with Given Measurements

Question

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

00:00 Calculate the area of triangle ABC

00:02 We will use the formula for calculating triangle area

00:05 (Base(CB) times height (H)) divided by 2

00:15 Let's mark AD as height (H)

00:24 Let's substitute appropriate values in our formula

00:31 Let's calculate and solve

00:35 And this is the solution to the question

First, let's remember the formula for the area of a triangle:

(the side * the height that descends to the side) /2

In the question, we have three pieces of data, but one of them is redundant!

We only have one height, the line that forms a 90-degree angle - AD,

The side to which the height descends is CB,

Therefore, we can use them in our calculation:

$\frac{CB\times AD}{2}$

$\frac{8\times9}{2}=\frac{72}{2}=36$

36 cm²