Question

The length of the hypotenuse of an isosceles right triangle whose one side is 4 root 2 centimetre is

Answer 1

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Answer 2

The length of the hypotenuse is 8 cm

Step-by-step explanation:

We are given the isosceles right angled triangle

Since we are given that it is an isosceles triangle

So, Perpendicular = Base

We are given that one side is 4√2 centimeter

Perpendicular = Base=4√2

So, Using Pythagoras theorem

$Hypotenuse^2= perpendicular^2+base^2\\Hypotenuse^2 = (4\sqrt{2})^2+(4\sqrt{2})^2\\Hypotenuse = \sqrt{(4\sqrt{2})^2+(4\sqrt{2})^2}\\Hypotenuse = 8$

Hence The length of the hypotenuse is 8 cm

#Learn more :

If the hypotenuse of an isosceles right angled triangle is 512 centimetre square find the length of each side

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