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Byju's Answer
Standard VII
Mathematics
Important Properties of Triangles
Find the leng...
Question
Find the length of diagonal of the rectangle whose sides are 16 cm and 12 cm.
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Solution
Suppose the sides are x and y of lengths 16 cm and 12 cm, respectively.
Let the diagonal be z cm.
Clearly, the diagonal is the hypotenuse of the right triangle with legs x and y.
By Pythagoras theorem:
z
2
=
x
2
+
y
2
⇒
z
2
=
16
2
+
12
2
⇒
z
2
=
256
+
144
⇒
z
2
=
400
⇒
z
2
=
20
2
⇒
z
=
20
Hence, the length of the diagonal is 20 cm.
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