Question

The hypotenuse of a right angle triangle is 4 metres. If its other sides are equal find the length of each side.​

Answer 1

Answer:

$\sqrt{8}$

or

$2 \sqrt{2}$

Step-by-step explanation:

Since the legs are equal this is a 45-45-90 triangle.

The ratio of side length for a 45 45 90 triangle

$(1)(1)( \sqrt{2} )$

where 1 is the legs length and sqr root of 2 is the length of the hypotenuse.

Since we are trying to find the length of the legs side we can set up a proportion.

We know the hypotenuse is 4 so our proportion looks like

$\frac{1}{x} = \frac{1}{x} = \frac{ \sqrt{2} }{4}$

Let see how far sqr root of 2 goes into 4.

$\sqrt{2} \times x = 4$

$\sqrt{2} \times x = \sqrt{16}$

$x = \sqrt{8}$

so that means the answer for the legs length is

$\sqrt{8}$

or

$2 \sqrt{2}$

Answer 2

Answer:

Step-by-step explanation:

hello :

use  phtagor - rule:  let  x  the length of each side

x² +x² =4²

2x² =16

x² = 8  

x = √8

but :  8 = 4×2 = 2²×2

x = √(2²×2) = √2²× √2 =2√2      ......   √2² =2

x  =  2√2 metres.