Respuesta :

Answer:

74 inches

Step-by-step explanation:

We can use Pythagorean Theorem, because this is a right triangle. We know it is a right triangle because of the little square in the corner indicating a right angle.

a^2+b^2=c^2

where a and b are the legs, and c is the hypotenuse.

We know that we are looking for c, so the other two sides must be the legs.

The other sides are 24 and 70. They are a and b.

24^2+70^2=c^2

Evaluate the exponents.

576+4900=c^2

Add

5,476=c^2

Take the square root of both sides. This is because c is being squared. Taking the square root will reverse that and leave c by itself.

74=c

So, the hypotenuse is 74 inches