Search
Ask a question
0

BF and FD are perpendicular bisectors of triangle ACE. Find the measure of segment BF if BF = 5x + 7 and FD = 3x + 16.

I do not know how to solve for the sides in an isosceles triangle with perpendicular bisectors. All help will be greatly appreciated 
 

2 Answers by Expert Tutors

Tutors, sign in to answer this question.
Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...
3.0 3.0 (1 lesson ratings) (1)
1
Hi Arlene;
As you probably already know, an isosceles triangle is a triangle in which two sides are equal.  Perpendicular bisectors BF and FD share the point F.  To resolve this with the information given, I must assume that F is on the non-equal side, and B is on one equal side, whereas D is on the other equal side.  If this is true, then BF=BD.
5x+7=3x+16
2x=9
x=4.5
BF=5x+7
BF=[5(4.5)]+7
BF=22.5+7=29.5
 
Please let me know if you have any additional information.
Marie B. | Marie B. Math and Physics tutorMarie B. Math and Physics tutor
4.8 4.8 (249 lesson ratings) (249)
1
If you have an isosceles triangle, then the perpendicular bisectors which bisect the two equal sides will meet at a point called the circumcenter. Is this F? Then the  two segments will be equal, and you should set the two equations equal to each other.