149k views
1 vote
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​

User Hager Aly
by
4.9k points

1 Answer

0 votes

Answer:

25 ft

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)

User Nikola Anusev
by
5.7k points