What is the measure of the hypotenuse?

13.

Step-by-step explanation:

This triangle applies a theorem for only right triangles.

It is called the Pythagorean Theorem

It is a squared plus b squared = c squared.

C is your hypotenuse

A is one of the legs of the triangle

B is the other leg.

Plug 5 and 12 to the theorem. They are your legs, so 5 squared plus 12 squared= c squared.

5 squared is 25 and 12 squared is 144.

Add 144 plus 25 equals 169.

Don't get fooled with 169 because that is c squared= 169. You can still simplify c. Do the square root of both sides. the squared root of c squared is c because square roots and exponents are inverse operations. The square root of 169 is 13. Therefore, c=13.

Hope this helps!

45 seconds

Step-by-step explanation:

Find the least common multiple (LCM) of 9 and 15.  To do that, first write the prime factorization of 9 and 15.

9 = 3²

15 = 3 × 5

The LCM must contain all the factors of each.

LCM = 3² × 5

LCM = 45

They blink together after 45 seconds.