Question

the length of two sides of a right triangle are equal . The square of the hypotenuse is 800cmsquare .Find the length of the each side

Answer 1

Hey!!
Here is your answer.


Let the common sides be x

According to the-
$\bold{pythagoras \: theorem}$


${x}^{2 } \: + x {}^{2} = 800$
$2x { {}^{2} }^{} = 800 \\ x {}^{2} = 400 \\ x = \sqrt{400} \\ x = 20$
Hence the length of the sides is 20 cm.
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Answer 2

Hey there...!!

Let the similar sides of the right angled triangle be x

square of the hypotenuse = 800 cm^2 (given)

Then according to the Pythagoras Theorem,

In a right angled triangle the square of hypotenuse is equal to the sum of squares of the other two sides

So,

x^2 + x^2 = 800

2x^2 = 800

x^2 = 800/2

x^2 = 400

x = √400

x = 20

Hence the length of the similar side in the right angled triangle is 20 cm