Answer:
74cm
Step-by-step explanation:
If 24cm and 70cm are given sides of a right triangle, we can use the pythagorean theorem to find out the hypotenuse.
[tex]a^{2} +b^{2} =c^{2}[/tex] where a and b are sides of the right triangle and c is the longest side, or hypotenuse, of the right triangle.
Let's plug both 24 and 70 into the equation.
[tex]24^2+70^2=c^2[/tex]
5476=[tex]c^2[/tex]
To get c alone by itself, we have to square root both sides.
[tex]\sqrt{5476}=\sqrt{c^2 }[/tex]
74=c
The longest side, or the hypotenuse, length, is 74cm.
