What is the length of the missing side?

9514 1404 393

  10

Step-by-step explanation:

The Pythagorean theorem tells you the relationships of sides in a right triangle is ...

  a² + b² = c² . . . . . . where 'a' and 'b' are the legs, and 'c' is the hypotenuse

  6² +8² = c²

  36 +64 = c² = 100

  c = √100 = 10

The length of the hypotenuse is 10.

Additional comment

The ratio of the leg lengths is 8/6 = 4/3. The only right triangle with legs in the ratio 4/3 has the relationship ...

  hypotenuse : long leg : short leg = 5 : 4 : 3

If you multiply these numbers by 2, you see they correspond to the side lengths in this triangle. Your familiarity with a 3-4-5 right triangle can let you write down the answer immediately.

10

step-by-step explanation:

the answer is d. 75%