In a rectangle with sides 6 cm and 8 cm- what is the length of the diagonal-A- 16 cmB- 14 cmC- 12 cmD- 10 cm

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Byju's Answer

Standard VIII

Mathematics

Pythagoras Theorem

In a rectangl...

Question

In a rectangle with sides 6 cm and 8 cm, what is the length of the diagonal?

16 cm

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14 cm

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10 cm

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12 cm

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Solution

The correct option is C 10 cm

Consider the right-angled triangle $△ B C D$ right-angled at C.
Using Pythagoras' theorem, we have
$B C^{2} + C D^{2} = B D^{2} .$
$\Rightarrow 6^{2} + 8^{2} = B D^{2}$
$\Rightarrow B D = 10 cm$
Thus, the length of the diagonal of the rectangle measures 10 cm.

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In a rectangle with sides 6 cm and 8 cm, what is the length of the diagonal?

The correct option is C 10 cm Consider the right-angled triangle △BCD right-angled at C. Using Pythagoras' theorem, we have BC2+CD2=BD2. ⇒62+82=BD2 ⇒BD=10 cm Thus, the length of the diagonal of the rectangle measures 10 cm.

The correct option is C 10 cm

Consider the right-angled triangle $△ B C D$ right-angled at C.
Using Pythagoras' theorem, we have
$B C^{2} + C D^{2} = B D^{2} .$
$\Rightarrow 6^{2} + 8^{2} = B D^{2}$
$\Rightarrow B D = 10 cm$
Thus, the length of the diagonal of the rectangle measures 10 cm.