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An isosceles right-angled triangle has area 32 cm2cm^2cm2​. The length of its hypotenuse is in cm
Question

An isosceles right-angled triangle has area 32 cm2cm^2​. The length of its hypotenuse is in cm

A.

16

B.

√64

C.

√128

D.

√32

Correct option is C

An isosceles right-angled triangle has two equal sides and one right angle (90∘). Let the equal sides be a cm. The area of the triangle is given by:
1/2.a2=321/2. a^2 = 32​​
a2=64a^2 = 64​​
a = √64 = 8 cm)
Now, using the Pythagoras theorem:
Hypotenuse2Hypotenuse ^2​ = a2+a2a^2 + a^2​​
Hypotenuse2Hypotenuse ^2​ = 64 + 64 = 128
Hypotenuse = √128

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