Respuesta :

Answer:

The length of the third side is [tex]≈15.7[/tex]

Step-by-step explanation:

Note:

Phitagors theorem:

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

[tex]c: hypotenuse[/tex]

[tex]a: altitude[/tex]

[tex]b: base[/tex]

1) Using Phitagors theorem

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

[tex]c^{2}=14^{2}+7^{2}[/tex]

2) Calculate

[tex]c^{2}=245[/tex]

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

[tex]\sqrt {c^{2}}=\sqrt{245}[/tex]

[tex]c=\sqrt{245}[/tex]

[tex]c≈15.7[/tex]