Two sides of a triangle plot of land are equal and equal and at right angles to one another .if the square of the third side is 128ft the total length of other 2 side is

Answers 2

Answer:

Let the two sides, p,b of given triangle be x,x, as it is given that both the sides of the triangle are equal.

Square of hypotenuse, h is 50 cm

Using Pythagoras theorem:

50=x

=50

=25

x=5

So the length of each side is 5 cm

Explanation:

Let the two sides, x,y of given triangle be x,x as it is given that both the sides of the triangle are equal.

[tex] {z}^{2} = {x}^{2} + {y}^{2} [/tex]

[tex] 128 = {x}^{2} + {x}^{2} [/tex]

[tex]128 = 2 {x}^{2} [/tex]

[tex] {x}^{2} = 128 \div 2[/tex]

[tex] {x}^{2} = 64[/tex]

[tex]x = 8[/tex]

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