The perimeter of a triangle is 7a - 11b. If two of its sides are 2a + b and a - 9b, what is the third side?

1 Answer
Tony B
Mar 19, 2018

4a-color(white)("d")3b 4a−d3b

Explanation:

2a+color(white)("d")b2a+db
ul(color(white)("d")a-9b larr" Add"
color(red)(3a-8b) larr" Sum of 2 sides"

color(white)("d")

7a-11b larr" Sum of all 3 sides"
ul(color(red)(3a-color(white)("d")8b)larr" Subtract")
4a-color(white)("d")3b larr" Remaining side"

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