Question

The area of quadrilateral STIR shown in the figure is 125 cm. If RP = 12 cm and
TQ = 8 cm, find the length of diagonal SI.
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Answer 1

Answer:

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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TO FIND

Lenght of each side of the quadrilateral.

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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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ANS

The sides of the quadrilateral measure 5 cm each.