If I'm given the four sides of an irregular quadrilateral but none of the angles, is it possible to calculate its area?

Answer 1

No

Quadrilateral cannot be defined only by its sides (unless we know beforehand that this is a rectangle). For example, make a parallelogram. Without changing its sides we can "fold" it down to a line, thus making its altitude (and, therefore, area) as small as possible.

The same is with any irregular quadrilateral. Without angles defined, it can be transformed into another quadrilateral with different shape and area.

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

Yes, it is possible to calculate the area of an irregular quadrilateral if you are given the lengths of its four sides. One way to do this is by using the formula known as Brahmagupta's Formula or the Brahmagupta's Area Formula.

The formula states that the area (A) of a quadrilateral with side lengths ( a ), ( b ), ( c ), and ( d ) can be calculated using the following formula:

[ A = \sqrt{(s - a)(s - b)(s - c)(s - d)} ]

Where ( s ) is the semi-perimeter of the quadrilateral, given by:

[ s = \frac{a + b + c + d}{2} ]

By substituting the values of the side lengths into the formula, you can calculate the area of the irregular quadrilateral.

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7