In triangle ABC,

Question

In triangle ABC, <A is congruent to <C. 
If AB = 4x + 25, BC = 2x + 45, and AC = 3x - 15. Determine the lengths of the three sides. Medal will be rewarded for your patronage! :D Please help me, it would mean a lot!!!! :DDDD

campbell_st · Answer

well you have an isosceles triangle

so the sides opposite the equal angles are equal in length

so the sides AB = BC

so equate the  side lengths 

4x + 25 = 2x + 45

now solve for x

when you have x, you can find the length of all sides.

firejay5 · Answer

Don't forget <A & <C are congruent

campbell_st · Answer

thats why I know the triangle is isosceles.... its the necessary fact needed so that you can say that sides AB = BC

|dw:1386390841506:dw|

firejay5 · Answer

I got that AB & BC = 65 & AC = 15

campbell_st · Answer

makes sense to me