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.

121212888999AAABBBCCCDDD

Video Solution

Solution Steps

00:00 Calculate the area of the triangle ABC
00:02 Apply the formula for calculating the area of a triangle
00:05 (Base(CB) x height (H)) divided by 2
00:15 Mark AD as height (H)
00:24 Substitute the relevant values into our formula
00:31 Calculate and solve
00:35 This is the solution

Step-by-Step Solution

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:

CB×AD2 \frac{CB\times AD}{2}

8×92=722=36 \frac{8\times9}{2}=\frac{72}{2}=36

Answer

36 cm²