Formula for area of a triangle is A=1/2bh. Given than A= 20 and h= 5, solve the formula for b?

Question

The formula for the area of a triangle is A = #1/2#bh. Solve the formula for b. What is the base of a triangle with an area of 20 square inches and a height of 5 inches?

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Answer 1 · 2018-04-18T09:48:17

#color(purple)(b = 8#

#A = (1/2) B h, A = 20, h = 5. " To find b"#

#(1/2) * b * 5 = 20#

#b * 5 = (20) / (1/2), " cross-multiplying"#

#b * 5 = 20 * (2/1) = 40#

# b = cancel(40)^color(red)(8) / cancel5 = 8#