Respuesta :

Given the dimensions of the triangle:

Opposite = 7cm

Adjacent = 3cm

To find the length of the hypotenuse, let's use Pythagoras theorem:

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

Now we have:

[tex]7^2+3^2=c^2[/tex][tex]49+9=c^2[/tex][tex]58=c^2[/tex]

Now take the square root of both sides:

[tex]\sqrt{58\text{ }}\text{ = }\sqrt{c^2}[/tex][tex]\text{ }\sqrt{58\text{ }}\text{ = c}[/tex]

The length of the hypotenuse is √58 cm