Question

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

Answer 1

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

2

Using Pythagoras theorem:

h

2

=p

2

+b

2

50=x

2

+x

2

2x

2

=50

x

2

=25

x=

25

x=5

So the length of each side is 5 cm

Answer 2

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.

• Square of the third side ,z^2 is 128ft

• Using Pythagoras theorem:

${z}^{2} = {x}^{2} + {y}^{2}$

$128 = {x}^{2} + {x}^{2}$

$128 = 2 {x}^{2}$

${x}^{2} = 128 \div 2$

${x}^{2} = 64$

$x = 8$

• so the length of the other two side is 8.