SOLUTION: In the diagram, Line BE=80 cm, and Line AC=Line DC. Find the length of Line BC, in cm.
Diagram:
https://ibb.co/dL2T5DW
Algebra.Com
Question 1187458: In the diagram, Line BE=80 cm, and Line AC=Line DC. Find the length of Line BC, in cm.
Diagram:
https://ibb.co/dL2T5DW
Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52778) (Show Source): You can put this solution on YOUR website!
.
This link doesn't work.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
In the diagram, Line BE=80 cm, and Line AC=Line DC. Find the length of Line BC, in cm.
-----------------
Label BC = x and AC = DC = z to save some typing.
=====
z^2 - 32^2 = x^2
z^2 - 40^2 = (80-x)^2
----
z^2 - 1024 = x^2
z^2 - 1600 = 6400 - 160x + x^2
---
Sub for z^2 in the 2nd equation
x^2+1024 - 1600 = x^2 - 160x + 6400
-576 = -160x + 6400
160x = 6976
x = 43.6 cm
BC = 43.6 cm
RELATED QUESTIONS
In the diagram, BE = 45 cm and AC = DC . Find the length of BC, in cm.... (answered by mananth)
In the diagram, BE = 50 cm and AC=DC. Find the length of BC, in cm.... (answered by josgarithmetic)
In the diagram below, Triangle ABC is isosceles, and Triangle MPQ is equilateral. Find... (answered by ikleyn,Edwin McCravy)
In the diagram, AB = BC and BD=DC=CE. AB=4 cm. Find the length of AE, in cm.... (answered by ikleyn,math_tutor2020)
In the diagram, BE= 45cm and AC=DC. Find the length of BC, in cm.
Diagram:... (answered by josgarithmetic,ikleyn)
In the diagram, BE=45cm and AC=DC. Find the length of BC, in cm.
Diagram:... (answered by josgarithmetic,ikleyn)
In the diagram, line BC = 5 cm, and curved line DE is tangent to line AC. Find the area,... (answered by josgarithmetic,ikleyn,math_tutor2020,MarkSingh-,MathTherapy)
In the diagram, Line AB=Line AC, angle A= 60 degrees. If Line AD = 1/4 Line AC, and... (answered by math_tutor2020,MathTherapy)
In the diagram below, EFGH is a rhombus formed by connecting the midpoints of the sides... (answered by ikleyn)