Question

The square of the hypotenuse of an isosceles right angled triangle is 242cm2. What is the length of each side?​

Answer 1

Step-by-step explanation:

We have,

Length of the Hypotenuse: √242 sq. cm.

{As the square of the Hypotenuse is given.}

Let the Length of first side be x.

As the Triangle is isosceles, the other side must be equal to the first side.

So the Length of second side: x.

Now, we have,

By Pythagoras Theorum:

${ {h}^{2} } = {p}^{2} + {b}^{2}$

$\sqrt{{242}^{2}} = {x}^{2} + {x}^{2}$

$242 = 2 {x}^{2}$

$\frac{242}{2} = {x}^{2}$

$121 = {x}^{2}$

$\sqrt{121} = x$

$11 = x$

$x = 11$

Hence, the Length of each side of the Right-Isosceles Triangle is 11 cm.

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Answer 2

Answer:

11

Step-by-step explanation:

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