Question

A shelf is designed so it will fit in a 90º corner between two walls. The shelf has dimensions, rounded to the nearest tenth, as shown. A triangle has side lengths 11 centimeters, 11 centimeters, and hypotenuse of StartRoot 242 EndRoot centimeters. [Not drawn to scale] Will the shelf fit snugly in a 90º corner?

Answer 1

A

Explanation:

Answer 2

Yes, it will fit snugly in a 90º corner

Explanation:

To do this, we simply need to check if the given sides of the shelf is right-angled.

So, we have:

`Hypotenuse = \sqrt{242`

`Side\ 1 = Side\ 2 = 11`

To check for right-angle triangle, we make use of:

`Side\ 1^2 + Side\ 2^2 = Hypotenuse^2`

This gives:

`11^2 + 11^2 = √(242)^2`

`121 + 121 = √(242)^2`

`242 = √(242)^2`

`242 = 242`

This shows that the given sides of the shelf is a right-angled triangle.

Hence, it will fit the wall