top button
Flag Notify
    Connect to us
      Site Registration

Site Registration

The figure shows an isosceles triangle with AB = BC. The line DE cuts AC extended at F. If AD=5, CE=3 and EF=8 find DE.

+3 votes
2,014 views

The figure shows an isosceles triangle with AB = BC. The line DE cuts AC extended at F. If AD=5, CE=3 and EF=8 find DE.

Find DE

posted Jun 18, 2015 by anonymous

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

2 Answers

0 votes
answer Jun 25, 2015 by Ankit Kamboj
What are your "sine rules"? Where are the right angles?
Dear teuxe , sine rules applied here are
In a triangle ABC with sides a,b,c and its corresponding opposite angles A,B,C
{a/Sin(A)}={b/Sin(B)}={c/Sin(C)}  , holds for for any triangle , there are no right angles here ..
0 votes

enter image description here

Draw a parallel line (EG) to AC.
DG = 2
The triangles DGE and DAF are similar.
DE/DG = DF/DA
x/2 = (8+x)/5
5x = 16 + 2x
3x = 16
x = 16/3

answer Aug 24, 2018 by Halil Akansel



Similar Puzzles
+1 vote

In a Right angle triangle ABC

AB=3,AC=4 & BC=5

at BC,E is middle point and D is altitude AD

Find distance DE=?

it is not a difficult question everyone who know maths ...
Can YOU solve it easily ...... solve it in one line...........or in second..........?

0 votes

A triangle with sides AB = 3, BC = 4, and AC = 5 has an inscribed square PQRS with side QR along the side AC.
What is the area of the square?

enter image description here

0 votes

Suppose ABCD is an isosceles trapezoid with bases AB and CD and sides AD and BC such that |CD| > |AB|. Also suppose that |CD| = |AC| and that the altitude of the trapezoid is equal to |AB|

enter image description here

If |AB|/|CD| = a/b where a and b are positive coprime integers, then find a^b?

0 votes

Triangle ABC is an isosceles triangle with AB = AC and A = 100°. Extend the ray from A to B until point D such that AD = BC, as shown below. What is the measure of angle BDC?

enter image description here

...