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Ben is building a storage box for the sail of his boat. The left side of the box is 3 feet long and the right side of the box is 4 feet long. The left and right side form a right angle, as shown in the picture below.What is the length of the base of the box?
A.
4.5 feet
B.
7 feet
C.
5 feet
D.
3.5 feet

Respuesta :

Onoriodefelix

Answer:

2.6 feet

Step-by-step explanation:

The length of the base can be found using Pythagoras theorem.

Let the let of the base be represented as y

Given

The left side = 3 feet

Right side = 4 feet

Therefore 4^2 = 3^2 + y^2

4 x 4 = 3 x3 + y^2

16 = 9 + y^2

Subtract 9 from both sides

16 - 9 = 9 - 9 + y^2

7 = y^2

Or

y^2 = 7

y = squared root of 7

y = 2.6 feet

The length of the base is 2.6 feet

bianca628

Answer:

c, five feet

Step-by-step explanation:

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