The length of the base of a triangle with constant area varies inversely with the height. When the base is 18 cm long, the height is 7 cm. What is the length of the base when the height is 6 cm?
1 Answer
Aug 27, 2017
Explanation:
#"we have an initial statement "bprop1/h#
#"where b represents the base and h the height"#
#rArrb=k/hlarr" k is constant of variation"#
#"when "b=18, h=7#
#rArrk=bh=18xx7=126#
#"the equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(b=126/h)color(white)(2/2)|)))#
#"when "h=6#
#b=126/6=21"cm"#