Question

In the image, the distance from the swings to the slide is 35 35 feet. The distance from the slide to the bench is 12 12 feet. Use the Pythagorean theorem to find the distance from the bench to the swings.

Answer 1

37.403

Explanation:

a2 + b2 = c2

(The 2 is squared)

(35)2 + (12)2 = c2

1225 + 144 = c2

c = 37.403

Answer 2

37 feet.

Explanation:

Suppose S represents the Swing, S' represents the slide and B represents the Bench,

According to the diagram,

In triangle SS'B,

SS' = 35 feet,

S'B = 12 feet,

Also, ∠SS'B = 90°,

Thus, by the Pythagorean theorem,

`SB^2 = S'S^2 + S'B^2`

`=35^2+12^2`

`=1225 + 144`

`=1369`

`\implies SB = 37`

Hence, the distance from the bench to the swings is 37 feet.