What is the base for a triangle if the area is 256.5 inches squared and the height is 27 inches?

1 Answer
Feb 12, 2018

#"base "=19" inches"#

Explanation:

#"the area of a triangle is found using the formula"#

#•" area (A)"=1/2bh#

#"where b is the base and h the perpendicular height"#

#"multiply both sides of the formula by 2"#

#rArr2A=cancel(2)xx1/cancel(2)bh#

#rArrbh=2A#

#"divide both sides by h"#

#(cancel(h) b)/cancel(h)=(2A)/h#

#rArrb=(2A)/h#

#"substitute the values gives b"#

#b=(2xx256.5)/27=19" inches"#