Question

I need help on 3 it says find the value of x round each answer to the nearest tenth

Answer 1

In problem 3, we have a right triangle with:

• cathetus ,a = 7,,

,

• cathetus ,b = x,,

,

• and hypotenuse ,h = 9,.

Pigatoras Theorem states that:

`h^2=a^2+b^2.`

Where a and b are cathetus and h the hypotenuse.

Replacing the data of the problem in the equation above, we have:

`9^2=7^2+x^2.`

Solving for x the last equation, we get:

`\begin{gathered} 81=49+x^2, \\ x^2=81-49, \\ x^2=32, \\ x=\sqrt[]{32}\cong5.7. \end{gathered}`

Answer

The value of x to the nearest tenth is 5.7.