Area of Irregular Quadrilaterals: SASSS

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This MATHguide [www.mathguide.com/] video demonstrates how to calculate the area of an irregular quadrilateral given four sides and an angle (SASSS). The Law of Cosines, Heron's Formula and the sine formula for area of a triangle are demonstrated.

Опубликовано:

11 сен 2024

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Комментарии : 59

@MATHguide 6 лет назад

See our lessons on areas of polygons: www.mathguide.com/lessons2/AreaPoly.html

@dbc3745 2 года назад

The way you explain the solutions are easily understood. I hope you make more videos like this. I can't understand my teacher. Thank you so much.

@MATHguide 2 года назад

Glad the video helped.

@dtruque 2 года назад

This reminded me of a similar formula to Heron's formula that can be applied only to cyclical quadrilaterals (those that can be inscribed in a circle). It's called Brahmagupta's formula : A = (s-a)(s-b)(s-c)(s-d), where s = semiperimeter and a,b,c,d are the known sides. Note that it wouldn't apply in this problem because this is an irregular quadrilateral, not a cyclical (in a cyclical quadrilateral, opposite angles sum up to 180 degrees).

@mengueternalgemnwi9075 4 года назад

Sorry sir, with only the unegual sides given without any angle is it possible to find the angle?

@MATHguide 4 года назад

Watch the video.

@anubhavpandey6481 7 лет назад

is it possible to calculate the area of quadrilateral if only the sides are given and no angle is given and the sides are different..i find it difficult because different shapes are obtained so the area changes in each case..

@MATHguide 7 лет назад

Anubhav Pandey I think you answered your own question. No, more information is needed.

@anubhavpandey6481 7 лет назад

MATHguide thank u

@karthickauto9169 3 года назад

hi sir, i having the measurement of 4 side but i dont know the angle how can i find the angle

@MATHguide 3 года назад

One must have an angle.

@dtruque 2 года назад

If the quadrilateral is inscribed in a circle (i.e., cyclical quadrilateral), you can use Brahmagupta's Formula: A=(s-a)(s-b)(s-c)(s-d), where s=semiperimeter and a,b,c,d are the sides. Note that all triangles can be inscribed in a circle, so Brahmagupta's formula works for triangles if you assume the "fourth" side has length = 0, i.e., back to Heron's formula.

@soumitramakar9247 3 года назад

Thank you sir

@isaacsamadder348 2 года назад

How to calculate the diagonal of irregular rectangle?

@MATHguide 2 года назад

Skillfully use the law of sines and law of cosines.

@luvoncamane4146 3 года назад

I have a triangle with sides 25, 21, and 3. It equates to meth error when I use the formula. What can I do?

@MATHguide 2 года назад

See "triangle inequality".

@louisa9007 5 лет назад

Is it possible to find the area if only 2 sides are given with no angles?

@MATHguide 5 лет назад

No.

@louisa9007 5 лет назад

MATHguide thanks. I realised i had to find the length scale factor of the shape inside the irregular quadrilateral. then square it to find the area scale factor and times it by the inner shape which gives me the bigger shapes area scale factor. Hope that made some sense lol

@fidelperez9514 5 лет назад

How you do it if you dont have an angle?

@MATHguide 5 лет назад

It would be impossible to find the area of a generic quadrilateral without knowing an angle.

@Ivan-yb1cf 3 года назад

How to find the angle

@boogerking7411 6 лет назад

How to compute the other diagonal length?

@MATHguide 6 лет назад

booger king We can do it if we know the angle between the 30 degree and 150 degree angles. To get them, we need to calculate the other angles in the diagram, which is no easy task.

@Muqaddasmalik 7 лет назад

very impressive explanation

@MATHguide 7 лет назад

malik mahar Thank you!

@hotrodroxie 3 года назад

Wish I could find a sixth grade version of this video. If anybody knows of one, thanks in advance for directing me!!

@MATHguide 2 года назад

This is not a topic for sixth graders.

@nitishilovemykolkatapathak4849 5 лет назад

I like it

@RashedNizamsatu 4 года назад

How can I measure when angle is unknown??

@MATHguide 4 года назад

Which angle are you referring to?

@pareshpatil1597 4 года назад

@@MATHguide 80 degree... if not given how to find area

@MATHguide 4 года назад

@@pareshpatil1597 Break up the figure into triangles and then find their areas.

@four2033 5 месяцев назад

Please calculate for me im buying a land. The sides are AB=173, BC=110, CD=138, DA=102

@guillermogorosin5485 2 года назад

Can you solve the aboved problem without an angle given.. thks.

@MATHguide 2 года назад

No.

@gabfar4328 6 лет назад

What if you don't have an angle?

@MATHguide 6 лет назад

Gabriel Fardell See Panday's comment and response.

@gabfar4328 6 лет назад

MATHguide thx mate

@gururajghewari620 Год назад

How to find irregular quadrilateral when only lengths of sides given and angle is not given

@MATHguide Год назад

That's impossible.

@earthgraduate726 5 месяцев назад

You're assuming that you have the angle and the diagonal length, while it's not realistic. In real world you probably do not have have the diagonal and there's no way to calculate that without having an angle .