Dennis is creating a triangle flower bed using three pieces of wood the shorter pieces of what have length of 7 ft and 24 ft how long in feet should the third piece of wood be for dentist to create a right triangle​

Respuesta :

Answer:

25 ft

Step-by-step explanation:

You need to know the Pythagorean Theorem to solve this, which is

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

The biggest clue is when it tells you that the shorter pieces are 7ft and 24ft.  In a right triangle, the shorter sides are the legs, and the hypotenuse is ALWAYS the longest side.  So we can use 7 and 24 for either a or b and solve for c

  7² + 24² = c²      (plug in what you know)

 49 + 576 = c²      (7² is 49, and 24² is 576)

625 = c²               (49 + 576 is 625)

 

25 = c                 (the square root of 625 is 25)