Question

24 cm

70 cm
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
C=
centimeters

?

Answer 1

74cm

Explanation:

If 24cm and 70cm are given sides of a right triangle, we can use the pythagorean theorem to find out the hypotenuse.

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

`24^2+70^2=c^2`

5476=
`c^2`

To get c alone by itself, we have to square root both sides.

`√(5476)=√(c^2 )`

74=c

The longest side, or the hypotenuse, length, is 74cm.