
How do find the area of a triangle with 3 sides given?
Answer
479.4k+ views
Hint: In the given question, we have been asked how we can calculate the area of any triangle with the measure of all its sides given. Here, we have not been given what type of triangle is it – isosceles, scalene, equilateral or right-angled. So, we are going to have to write the formula which can solve for the area of any given triangle.
Formula Used:
We are going to use the Heron’s formula in the question, which is:
If are the three sides of the triangle and be the semi-perimeter, then
Complete step-by-step answer:
In the given question, we have to find the area of any triangle with the length of all the sides given.
We do not know the type of triangle, so we are going to have to write the formula which can solve for any triangle’s area.
Let the sides of the triangle given be .
Let be the semi-perimeter of triangle,
Then, we can solve for the area of this triangle by applying Heron’s formula.
Additional Information:
If we have an equilateral triangle particularly mentioned, then we can use the formula . Now, we can check for the formula through Heron’s formula.
The sides of the triangle are all and hence,
Thus,
or,
Hence, verified.
Note: If the triangle is given to be an equilateral, we could have simply applied the formula – , with equal to measure of each side. If the triangle is right-angled, we can apply the formula – . But other than that, we are going to have to apply Heron’s formula to solve it.
Formula Used:
We are going to use the Heron’s formula in the question, which is:
If
Complete step-by-step answer:
In the given question, we have to find the area of any triangle with the length of all the sides given.
We do not know the type of triangle, so we are going to have to write the formula which can solve for any triangle’s area.
Let the sides of the triangle given be
Let
Then, we can solve for the area of this triangle by applying Heron’s formula.
Additional Information:
If we have an equilateral triangle particularly mentioned, then we can use the formula
The sides of the triangle are all
Thus,
or,
Hence, verified.
Note: If the triangle is given to be an equilateral, we could have simply applied the formula –
Recently Updated Pages
Master Class 10 Computer Science: Engaging Questions & Answers for Success

Master Class 10 Maths: Engaging Questions & Answers for Success

Master Class 10 English: Engaging Questions & Answers for Success

Master Class 10 General Knowledge: Engaging Questions & Answers for Success

Master Class 10 Science: Engaging Questions & Answers for Success

Master Class 10 Social Science: Engaging Questions & Answers for Success

Trending doubts
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Fill the blanks with proper collective nouns 1 A of class 10 english CBSE

Which one is a true fish A Jellyfish B Starfish C Dogfish class 10 biology CBSE

Why is there a time difference of about 5 hours between class 10 social science CBSE

What is the median of the first 10 natural numbers class 10 maths CBSE

Change the following sentences into negative and interrogative class 10 english CBSE
