Find the length of the diagonal of a square with an area of 16 cm^2
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Answer:
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Answered by
0
Answer:
THE DIAGONAL OF THE SQUARE IS 4√2 cm
Step-by-step explanation:
PARAMETERS GIVEN,
AREA OF THE SQUARE = 16cm²
SO,
LET THE SIDE OF THE SQUARE BE x
SO,
x²=16cm²
x=√16cm²
x=4cm
SO,
LET THE DIAGONAL BE x
SO,
BY APPLYING PYTHAGORAS THEOREM,
WE GET,
(P)²+(B)²=(H)²
(4cm)²+(4cm)²=(x)²
16cm²+16cm²=x²
32cm²=x²
x=√32cm²
x=4√2 cm
SO,
DIAGONAL OF THE SQUARE IS 4√2 cm
I HOPE YOU UNDERSTOOD THE QUESTION
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