Question

40. ABCD is a rhombus in which AO = 4cm and OB = 3 cm. What is the length of the side of the
rhombus?





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Answer 1

Answer:

Step-by-step explanation:

Rhombus is a quadrilateral which have all equal sides and whose diagonal bisect each other and make 90 degree angle

now according to your question there is a rhombus ABCD

IN TRIANGLE AOB :

LENGTH OF AO =4 cm

LENGHT OF OB = 3cm

THE ANGLE AOB = 90

BY APPLYING PYTHAGORAS THEOREM

SIDE² + SIDE² = HYPOTENUSE²

(AO)² +(OB)² = (AB)²

(4)²+(3)²=AB²

16+9= AB²

25=AB²

√25=AB

±5= AB

SINCE LENGTH CAN'T BE NEGATIVE

HENCE THE LENGTH OF AB = 5 cm

SINCE ALL SIDES OF RHOMBUS ARE EQUAL

HENCE LENGTH OF SIDE OF RHOMBUS IS 5cm.

hope , you understand it and it help you.