In a right-angled triangle, the length of the largest side is 10 cm and one of the legs is 8 cm. The length of the other leg is .

6 cm

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7 cm

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9 cm

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5 cm

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Solution

The correct option is A 6 cm
$∵$ The given triangle is right-angled triangle, the sides follow Pythagoras theorem.

Let the third side be $x$ cm

$\Rightarrow 10^{2} = 8^{2} + x^{2}$
$\Rightarrow x^{2} = 10^{2} - 8^{2}$
$\Rightarrow x^{2} = 100 - 64$

$\Rightarrow x^{2} = 36 or x = 6$ cm

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In a right-angled triangle, the length of the largest side is 10 cm and one of the legs is 8 cm. The length of the other leg is .

The correct option is A 6 cm∵ The given triangle is right-angled triangle, the sides follow Pythagoras theorem. Let the third side be x cm ⇒102=82+x2 ⇒x2=102−82 ⇒x2=100−64 ⇒x2=36 or x=6 cm

The correct option is A 6 cm
$∵$ The given triangle is right-angled triangle, the sides follow Pythagoras theorem.

Let the third side be $x$ cm

$\Rightarrow 10^{2} = 8^{2} + x^{2}$
$\Rightarrow x^{2} = 10^{2} - 8^{2}$
$\Rightarrow x^{2} = 100 - 64$

$\Rightarrow x^{2} = 36 or x = 6$ cm