Question

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

Answer 1

The length of missing side b is 3.5ft.

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:

`a^(2) +b^(2)=c^(2)`

`12^(2)+b^(2)=12.5^(2)`

`144+b^(2)= 156.25`

By subtracting both sides by 144 we get:

`b^(2) = 12.25`

Using square root both the sides we get:

`b=3.50`

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.