Question

Solve the triangle. Round each angle to the nearest degree and round each Side to the nearest hundredth. Do not use rounded answers in your calculations to find missing measures.

Answer 1

The length of the third side (Hypotenuse) is 7.1556411313

Explanation:

In order to find the third side(Hypotenuse) we use a formula called the phytogorean theorem which was invented by a philosopher named Pythagoras.

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

We now apply the given values to the equation

`5.96^(2) + 3.96^(2) = c^(2)`

Squaring the numbers we get,

`35.5216+15.6816 = c^(2)`

`51.2032`
`= c^(2)`

We now find the root of the number to find the hypotenuse which is,

`√(51.2032) = c`

`7.1556411313 = c`

Hence , the length of the third side (Hypotenuse) is 7.1556411313