The side of an isosceles right triangle of hypotenuse $5 \sqrt{2}$ cm is :

10 cm

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8 cm

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5 cm

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3 \sqrt{2}

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Solution

The correct option is A 5 cm
Sides other than hypotenuse of an isosceles triangle are equal.
Let the other two sides be $x$ each.
Using pythagoras theorem
$x^{2} + x^{2} = {(5 \sqrt{2})}^{2} 2 x^{2} = 50 \Rightarrow x^{2} = 25 \Rightarrow x = 5 c m$
So the other two sides are $5 c m$ each.

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The side of an isosceles right triangle of hypotenuse 5√2 cm is :

The correct option is A 5 cmSides other than hypotenuse of an isosceles triangle are equal.Let the other two sides be x each.Using pythagoras theorem x2+x2=(5√2)22x2=50⇒x2=25⇒x=5cmSo the other two sides are 5cm each.

The side of an isosceles right triangle of hypotenuse $5 \sqrt{2}$ cm is :

The correct option is A 5 cm
Sides other than hypotenuse of an isosceles triangle are equal.
Let the other two sides be $x$ each.
Using pythagoras theorem
$x^{2} + x^{2} = {(5 \sqrt{2})}^{2} 2 x^{2} = 50 \Rightarrow x^{2} = 25 \Rightarrow x = 5 c m$
So the other two sides are $5 c m$ each.