Question

In a isosceles right angled triangle ,the square of the hyotenuse is 200cm² . Find the lenght of each s8de

Answer 1

Answer: 10 cm

Step-by-step explanation:

Let a be the length of the equal sides.

Then hypotenuse² = 2side²

∴side² = hypotenuse²/2 = 200/2=100

∴side = 10cm

Answer 2

Answer:

10cm , 10cm , 10√2 cm

Step-by-step explanation:

In a right isosceles triangle 2 perpendicular sides are equal in length.

Let the length of equal sides be x

Now as it is right angled,

Using Pythagoras theorem,

x^2 + x^2 = 200

x^2 = 100

x = 10cm

Hence the length of sides are 10cm , 10cm and 10√2 cm

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