Question

Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answer 1

To use the Pythagorean theorem:
  ⇒ define Pythagorean theorem

• Definition of Pythagorean Theorem: the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides

     (look at the diagram attached for a better understanding)

Information Given:

• length of the two legs: 5, 9

Information Wanted:

• length of hypotenuse

Solve:

   $5^2+9^2=hypotenuse^2\\hypotenuse^2 = 5^2 +9^2 = 25 + 81 = 106\\hypotenuse = 10.29$

Rounded to nearest tenth:

 Answer: Length of hypotenuse is 10.3

Hope that helps!