
2Height of the base × Base=A
Calculate the area of the right triangle below:
Calculating the area of an isosceles triangle is very simple, easy, and even identical to the calculation we do to find out the area of other types of triangles. Therefore, if you happen to get a question about calculating the area of isosceles triangles on the exam, I assure you that a small smile will appear on your face.
We will multiply the base by the height and divide by two.
Remember!
The main property of the isosceles triangle is that the median of the base, the bisector, and the height are the same, that is, they coincide. Therefore, even if the question only names the median of the base or the bisector, you can immediately deduce that it is also the height of the triangle and use it to calculate its area.
Observe the theorem holds true only with the height, the median of the base, and the bisector!
You didn't think we were going to send you off without any exercises on the topic, did you? Time to practice!
Complete the sentence:
To find the area of a right triangle, one must multiply ________________ by each other and divide by 2.
Calculate the area of the triangle using the data in the figure below.
Calculate the area of the triangle below, if possible.
Here you have an isosceles triangle
Given that:
-
Height
What is the area of the triangle?
Solution: We will proceed according to the formula - the height
multiply by the base
and divide the received product by
We will obtain:
The area of the triangle is cm2.
You have the isosceles triangle
Given that:
The median of the base
Calculate the area
Solution: Let's remember that, in an isosceles triangle, the median of the base is also the height, therefore, we can use it in the formula for the area of the isosceles triangle. Let's note: Height
Now let's see that we have only half of the base .
Since is given as the median, we can deduce that also and consequently, the entire side of the base
Now let's put it in the formula:
The area of the triangle is cm2 .
Calculate the area of the triangle below, if possible.
Calculate the area of the following triangle:
Calculate the area of the following triangle:
Formula to calculate the area of an isosceles triangle that is also a right triangle:
If you come across calculating the area of an isosceles triangle whose height has not been given, but you know it is a right triangle, it is useful to know the following trick:
Let's see how it is done by applying it in an exercise: Before you, you have an isosceles right triangle
Given that
angle
Calculate the area of the triangle
Solution: Let's not be scared of not having data about the height and proceed according to the formula: the triangle is isosceles, therefore .
These are the two legs of the triangle - they form a right angle. Consequently, we will obtain:
The area of the triangle is cm2 .
Calculate the area of the right triangle below:
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:
24 cm²
Calculate the area of the following triangle:
To find the area of the triangle, we will use the formula for the area of a triangle:
From the problem:
Substitute the given values into the area formula:
Calculate the expression step-by-step:
Therefore, the area of the triangle is square units. This corresponds to the given choice: .
15.75
What is the area of the triangle in the drawing?
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.
We multiply the legs and divide by 2
17.5
Calculate the area of the triangle using the data in the figure below.
To calculate the area of the triangle, we will follow these steps:
Now, let's work through these steps:
The triangle is a right triangle with base units and height units.
The area of a triangle is determined using the formula:
Substituting the known values, we have:
Perform the multiplication and division:
Therefore, the area of the triangle is square units.
24
Calculate the area of the triangle below, if possible.
To solve this problem, we begin by analyzing the given triangle in the diagram:
While the triangle graphic suggests some line segments labeled with the values "7.6" and "4", it does not confirm these as directly usable as pure base or height without additional proven inter-contextual relationships establishing perpendicularity or side/unit equivalences.
Without a clear base and perpendicular height value, we cannot apply the triangle's area formula effectively, nor do we have all side lengths for Heron's formula.
Therefore, due to insufficient information that specifically identifies necessary dimensions for area calculations such as clear height to a base or all sides' measures, the area of this triangle cannot be calculated.
The correct answer to the problem, based on insufficient explicit calculable details, is: It cannot be calculated.
It cannot be calculated.
Calculate the area of the triangle below, if possible.
Calculate the area of the following triangle:
Calculate the area of the following triangle: