Question

The diagram shows how 6-foot boards and 8-foot boards are joined to form rectangular frames in a wall. Which is closest to the length of the diagonal brace for the wall? 6 ft 8 ft A. 10 ft B. 12 ft C. 13 ft D. 11 ft

Answer 1

A right triangle is formed, where 6 ft and 8 ft are the legs, and the hypotenuse is unknown. Using the Pythagorean theorem:

c² = a² + b²

c² = 6² + 8²

c² = 36 + 64

c² = 100

c = √100

c = 10 ft