If an isosceles right - angled triangle has area $200 c m^{2}$ , then the measure of its hypotenuse is ___ cm.

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$10 \sqrt{2}$

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$20 \sqrt{2}$

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Solution

Let the equal sides of the isosceles right angle triangle be 'a'

$\frac{1}{2} a^{2} = 200$

$a^{2} = 400$

$a = 20 c m$

Hypotenuse = $a \sqrt{2}$

= $20 (\sqrt{2})$

= $20 \sqrt{2} c m$

Hence (D)

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If an isosceles right - angled triangle has area 200cm2, then the measure of its hypotenuse is ___ cm.

Let the equal sides of the isosceles right angle triangle be 'a' 12a2=200 a2=400 a=20 cm Hypotenuse = a√2 = 20(√2) = 20√2cm Hence (D)

If an isosceles right - angled triangle has area $200 c m^{2}$ , then the measure of its hypotenuse is ___ cm.

Let the equal sides of the isosceles right angle triangle be 'a'

$\frac{1}{2} a^{2} = 200$

$a^{2} = 400$

$a = 20 c m$

Hypotenuse = $a \sqrt{2}$

= $20 (\sqrt{2})$

= $20 \sqrt{2} c m$

Hence (D)