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

Answer 1

#4a-color(white)("d")3b #

#2a+color(white)("d")b# #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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Answer 2

Isaiah Anthony

To find the third side of the triangle, subtract the sum of the lengths of the given sides from the perimeter of the triangle. So, the third side would be (7a - 11b) - (2a + b) - (a - 9b), which simplifies to 4a - b. Therefore, the third side is 4a - b.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.