Find the length of the missing side to the nearest tenth of a unit.
The legs of the triangles are a and b and the hypotenuse is c
a=12ft b=? c=12.5ft

Respuesta :

Answer:

The length of missing side b is 3.5ft.

Step-by-step explanation:

Given:

The legs of the triangle are a= 12 ft, b= ? and the hypotenuse c = 12.5 ft.

Now, we have to find the b which is the one side of triangle.

By using pythagoras theorem we get the value of b:

[tex]a^{2} +b^{2}=c^{2}[/tex]

[tex]12^{2}+b^{2}=12.5^{2}[/tex]

[tex]144+b^{2}= 156.25[/tex]

By subtracting both sides by 144 we get:

[tex]b^{2} = 12.25[/tex]

Using square root both the sides we get:

[tex]b=3.50[/tex]

As we see 0 in the place of hundredth and 5 in the place of tenth so rounding 3.50 to nearest tenth will give 3.5 .

So, b=3.5 ft.

Therefore, the length of missing side b is 3.5ft.