ABCD is a rectangle. If AB = 5 cm and BC = 12 cm, find the diagonal BD.
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Given:
Rectangle ABCD
AB = 5cm
BC = 12cm
To Find:
Diagonal BD
Solution:
Since ABCD is a rectangle
i.e, AD = BC = 12cm
AB = DC = 5cm
Now in Δ ABD
Applying Pythagoreus theorem:
⇒ BD² = AD² + AB²
⇒ BD² = (12)² + (5)²
⇒ BD² = 144 + 25
⇒ BD² = 169
⇒ BD = = 13cm
So, diagonal BD = 13cm.
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