Math, asked by Darknight2465, 8 months ago

One side of a square is 8cm . Find the lenth of its dignol using pythagorean triplet

Answers

Answered by Anonymous
2

QUESTION:

One side of a square is 8cm . Find the lenth of its dignol using pythagorean triplet.

ANSWER:

We know that;

all the sides of the square are equal.

And all the angles are right angles that is 90°.

Refer the attachment for the figure;

we have to find AC.

AB = BC = 8 CM.

We use the pythagorean formula here;

\huge\red{AC =  \sqrt{ {AB}^{2} -  {BC}^{2}  }}

now come to main question;

 AC=  \sqrt{ {8}^{2}   + {8}^{2} } \\ AC =  \sqrt{64 + 64}   \\ AC =  \sqrt{128}  \\ AC = 8 \sqrt{2} cm

FINAL ANSWER :

\huge\red{8 \sqrt{2} cm}

plz Mark as brainliest

Attachments:
Similar questions