Find the length of the third side to the nearest tenth

Work Shown:

a = 6  and b = 7 are the two legs of the right triangle. The hypotenuse is c which is unknown  for now

Use the Pythagorean theorem

a^2 + b^2 = c^2

6^2 + 7^2 = c^2

36 + 49 = c^2

85 = c^2

c^2 = 85

c = sqrt(85)   apply square root to both sides

c = 9.21954445729289

c = 9.2 rounding to one decimal place

3 1/3 x 2 3/5 = 8 2/3

step-by-step explanation:

just multiply the first number by the second number to get your answer.

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!