Question

❑ABCD is a rhombus If ABCD = 80 cm² and AC = 8 cm, then BD = ________ cm.
(a) 5
(b) 10
(c) 20
(d) 40

Answer 1

Answer:

Option (c) - 20 Cm

Step-by-step explanation:

Area of rhombus = diagonal 1 x diagonal 2÷ 2

= AC x BD /2

: 80 = 8×BD/2

: 80×2/8 = BD

:20 CMs = BD

Answer 2

Answer:

c) 20cm

Step-by-step explanation:

Points of Rhombus = ABCD (Given)

Area of Rhombus = 80 cm² (Given)

Side AC = 8cm (Given)

Area of rhombus = 1/2 × D1 × D2

= 1/2 × AC x BD

= 80 = 1/2 × 8 × BD  

= 80 = 8/2 × BD

= 80 = 4 × BD  

BD = 80/4

BD = 20

Therefore, the length of side BD = 20cm