Find the area of a rhombus whose side is 6.5 cm and altitude is 5 cm. If one of
diagonal is 13 cm long, find the length of other other diagonal.
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4
Answer:
THE LENGTH OF ANOTHER DIAGONAL IS 5cm
Step-by-step explanation:
PARAMETERS GIVEN,
LENGTH OF THE SIDE OF THE RHOMBUS = 6.5cm
LENGTH OF THE ALTITUDE OF THE RHOMBUS = 5cm
LENGTH OF THE DIAGONAL = 13cm
SO,
WE KNOW,
AREA OF THE RHOMBUS = BASE*HEIGHT
= 6.5cm*5cm
= 32.5cm²
SO,
NOW,
LET THE LENGTH OF THE ANOTHER DIAGONAL BE x
SO,
AREA OF THE RHOMBUS = 1/2(d₁)(d₂)
32.5cm² = 1/2(13cm)(x)
32.5cm²=(13x)/2
x = (32.5*2)/13
x = 65/13
x = 5cm
SO,
LENGTH OF ANOTHER DIAGONAL = 5cm
I HOPE YOU UNDERSTOOD THE QUESTION!!!
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