212k views
2 votes
I need help on this.

I need help on this.-example-1
User Augustomen
by
5.9k points

1 Answer

4 votes

If the triangles are similar, the proportion of the legs on the left to the legs on the right will be equal. This proportion would look like:


(2x+1)/(3x)=(10)/(14)

(You needed to combine the orange segment and the yellow segment to find the total length of the large triangle).


Now, cross multiply and solve for x:

28x+14=30x

*Subtract 28x from both sides to isolate the variable*

14=2x

*Divide both sides by 2*

7=x


Hope this helps!!

User Camilomq
by
5.9k points