Question

A carpenter builds a rectangular bookcase that is 115 cm long and 76 cm tall. The carpenter uses two braces along the diagonals to support the bookcase.

What is the length of the one of the braces, to the nearest tenth of a centimeter?

Answer 1

Answer: 137.8 cm

Explanation:

Using Pythagorean's Theorem, a² + b² = c², we can find the length of one of the braces.

Plug in your values:

115² + 76² = c²

13225 + 5776 = c²

19001 = c²

√19001 = c

c ≈ 137.8 cm

The braces are 137.8 cm long.

Hope this helps!