Question

Find the length of the third side. If necessary, round to the nearest tenth.

Answer 1

The length of the third side is
`≈15.7`

Explanation:

Note:

Phitagors theorem:

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

`c: hypotenuse`

`a: altitude`

`b: base`

1) Using Phitagors theorem

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

`c^(2)=14^(2)+7^(2)`

2) Calculate

`c^(2)=245`

3) Take the square root of both sides of the equation

`\sqrt {c^(2)}=√(245)`

`c=√(245)`

`c≈15.7`