diagonal of rectangle=15cm
length=12cm
area=?
Answers
Answered by
1
Answer:
Given that,
Digonal of a rectangle is 15cm
Width =12cm
We know that,
d=
w
2
+l
2
l=
d
2
−w
2
d=
15
2
+12
2
l=
15
2
−12
2
=
225−144
=
81
=9
Then,
We get the length of the rectangle is 9cm.
Answered By
toppr
Answered by
1
Answer:
suppose ABCD is any rectangle.
diagonal of rectangle = BD = 15 cm
length = AB = 12cm
breadth = AD = ?
area = ?
in ∆ ABD, <BAD = 90°
by Pythagoras theorem,
(BD)^2 = (AB)^2 + (AD)^2
(15)^2= (12)^2 + (AD)^2
225 = 144 + (AD)^2
225-144 = (AD)^2
81 = (AD)^2
taking square root,
AD = √81
AD= 9 cm
now,
area of rectangle ABCD = length x breadth
= 12 × 9
= 108 cm^2
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