SOLUTION: I am supposed to sketch and label the figure: Two different isosceles triangles with perimeter 4a+b. I am struggling because if it is two different triangles, shouldn't it be 2b

Algebra ->  Triangles -> SOLUTION: I am supposed to sketch and label the figure: Two different isosceles triangles with perimeter 4a+b. I am struggling because if it is two different triangles, shouldn't it be 2b       Log On


   

Question 157004This question is from textbook Discovering Geometry: An Investigative Approach
: I am supposed to sketch and label the figure: Two different isosceles triangles with perimeter 4a+b. I am struggling because if it is two different triangles, shouldn't it be 2b rather than b? This question is from textbook Discovering Geometry: An Investigative Approach

Answer by gonzo(654) About Me  (Show Source):
You can put this solution on YOUR website!
the only thing i can think of is that the 2 isosceles triangles are joined at the base.
in that case they would form a square with the diagonal being the base of the 2 triangles formed.
abcd is the square going around clockwise from the top left corner.
dab is one isosceles triangle.
bcd is the other isosceles triangle.
the common base is bd.
the 2 equal legs of the first triangle are da and ab.
the 2 equal legs of the second triangle are bc and cd.
4a refers to da and ab and bc and cd and means the triangles are congruent with the common base making all 3 corresponding sides of each triangle equal.
b is the common base bd.
that's the only way i can figure what they mean when they say 4a and 1b.