Question

the two diagonals of a quadrilateral which bisect each other are equal and measure 6cm each the quadrilateral will then be a ​

Answer 1

Step-by-step explanation:

The quadrilateral can be a square or a rectangle

Answer 2

$\bf{\underline{\huge{ANSWER}}}$

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$\underline{\bf{\large{GIVEN}}}$

In a quadrilateral ABCD : -

The diagonals measure 6 cm and 8 cm.

The diagonals bisect each other at right angles at O.

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$\underline{\bf{\large{ TO \: FIND }}}$

Lenght of each side of the quadrilateral.

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$\underline{\bf{\large{ SOLUTION}}}$

OA = 3 cm

OB = 4 cm

OC = 3 cm

OD = 4 cm

Using pythageorus theorem :

( OA )^2 + ( OB )^2 = ( AB )^2

( 3 )^2 + ( 4 )^2 = ( AB )^2

9 + 16 = ( AB )^2

25 = ( AB )^2

AB = √25 = 5 cm

Applying the same formula , we find that each side measures 5 cm. Since , the lengths and bases are same , the hypotenuses will also be same.

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$\underline{\bf{\large{ ANS}}}$

The sides of the quadrilateral measure 5 cm each.

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#BE BRAINLY

@janvi