Question

On the school playground, the slide is 7 feet due west of the tire swing and 7 feet due south of the monkey bars. What is the distance between the tire swing and the monkey bars?

Answer 1

Explanation:

According to the question, a slide is 7 feet due west of a tire swing and 7 feet due right of the monkey bars and we were asked the calculated the distance between them.

If you look at it carefully, since the slide is due west of the tire swing and 7 feet due south of the monkey bars, you'll notice a shaped form, the shape formed is an inverted right-angled triangle.

Right-angled Triangles can be solved using pythagoras' theorem which says
`a^(2) + b^(2) = c^(2)`.

a= 7, b=7, c=??

`c^(2) = 7^(2) + 7^(2)`

`c =√(98)`

c = 9.9 feet

Answer 2

9.9 feet

Explanation:

The question says that on the school playground, the slide is 7 feet due west of the tire swing and 7 feet due south of the monkey bars. What is the distance between the tire swing and the monkey bars?

If the slide is 7 feet due west of the tire swing and also located 7 feet due south of the monkey bars, the shape formed will look like a right angled triangle but one that is inverted.

The side lengths of this particular right angled triangle is 7 and 7 feet with just the hypotenuse of the triangle left.

Now using the Pythagorean theorem where c =√( a² + b²)

Where a = 7

And b b = 7, with c unknown?

C = √(7² + 7²)

C = √(49 + 49)

C = √98

C = 9.9 feet