Courses
Courses for Kids
Free study material
Offline Centres
More
Store Icon
Store
seo-qna
SearchIcon
banner

What is the area formula of an obtuse triangle?

Answer
VerifiedVerified
448.5k+ views
like imagedislike image
Hint: In order to solve the question given above, you need to recall the area of any triangle. You will notice that the area of all the triangles is the same. The formula for the area of a triangle is 12×base×height. Keep this formula in mind while proving that the result is the same for an obtuse triangle.
Formula used:
To find out the area formula of an obtuse triangle, we need to know the area of any triangle.
Area of a triangle =12×base×height.

Complete step-by-step answer:
Before starting to solve the above question, you need to keep this in mind that the area of any triangle is equal to half of the product of its base by its altitude. This includes the obtuse triangles also.
Now, to better understand this question let us first draw a triangle.
seo images

Now, the area of this triangle equals the difference between the area of ABD and ACD.
So, area of ABD equals to:
SABD=12×BD×h.
And the area of ACD equals to
SACD=12×CD×h .
The difference of both the areas is equal to
SABC=12×BD×h12×CD×h
  =12(BDCD)h=12×a×h
So, the formula for an obtuse triangle is 12×a×h. This is the same as for any other triangle with all acute angles.
So, the correct answer is “12×a×h”.

Note: While solving questions similar to the one given above, one very important point that you need to always keep in your mind is that the area of any triangle is equal to half of the product of its base by its altitude. So, we can say even for an obtuse triangle the formula for calculating the area is 12×base×height.
Latest Vedantu courses for you
Grade 11 Science PCM | CBSE | SCHOOL | English
CBSE (2025-26)
calendar iconAcademic year 2025-26
language iconENGLISH
book iconUnlimited access till final school exam
tick
School Full course for CBSE students
PhysicsPhysics
ChemistryChemistry
MathsMaths
₹41,848 per year
Select and buy
WhatsApp Banner