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