Examples with solutions for Area of a right triangle
Exercise #1
Calculate the area of the right triangle below:
Video Solution
Step-by-Step Solution
Due to the fact that AB is perpendicular to BC and forms a 90-degree angle,
it can be argued that AB is the height of the triangle.
Hence we can calculate the area as follows:
2AB×BC=28×6=248=24
Answer
24 cm²
Exercise #2
Calculate the area of the triangle below, if possible.
Video Solution
Step-by-Step Solution
The formula to calculate the area of a triangle is:
(side * height corresponding to the side) / 2
Note that in the triangle provided to us, we have the length of the side but not the height.
That is, we do not have enough data to perform the calculation.
Answer
Cannot be calculated
Exercise #3
Calculate the area of the following triangle:
Video Solution
Step-by-Step Solution
The formula for calculating the area of a triangle is:
(the side * the height from the side down to the base) /2
That is:
2BC×AE
We insert the existing data as shown below:
24×5=220=10
Answer
10
Exercise #4
Calculate the area of the following triangle:
Video Solution
Step-by-Step Solution
The formula for the area of a triangle is
A=2h⋅base
Let's insert the available data into the formula:
(7*6)/2 =
42/2 =
21
Answer
21
Exercise #5
What is the area of the triangle in the drawing?
Video Solution
Step-by-Step Solution
First, we will identify the data points we need to be able to find the area of the triangle.
the formula for the area of the triangle: height*opposite side / 2
Since it is a right triangle, we know that the straight sides are actually also the heights between each other, that is, the side that measures 5 and the side that measures 7.