Question

two sides of right triangle are equal. the square of hypotenuse is 800 cm^2 . find length of two sides

Answer 1

Let ABC be the isosceles right triangle ,right angled at B .
So,AC^2=800cm^2
Let the two other sides be x.
By Pythagoras theorem ,
800=x^2+x^2
=>800=2x^2
=>x^2=400
=>x=20

Answer 2

Hey there

Let the measure of one side of right angled Triangle is x cm

given that -

In ⊿ABC ,

Perpendicular , ( a ) = Base ( b )

or , x = x

And Hypotenuse , ( c ) = 800 cm²

Now By Pythagoras theorem we know

c² = a² + b²

or ⟹ 800cm² = x² + x²

⟹ 2x² = 800

⟹ x =√ 400

⟹ x = 20 cm

Now we get x ,= 20 cm or

perpendicular and base = 20 cm



Hope this would help you !!