SusieSushi wrote:
pranab01 wrote:
LT2018 wrote:
Any more explanations for this question?
Plz see the diag. below
As
Now the left hand triangle is a 5-12-13 triangle (Pitagorean triplet) ( it can also be dudced by pythogorus theorem as the unkown side = \sqrt{13^2 - 12^2} = 5)
Since the left part of the triangle has got the base 5, hence the base of the other triangle = 12.2 - 5 = 7.2
Now both triangles are similar ( Angle - angle -angle)
and hence the side can be deduced in the form:
\(\frac{7.2}{12}= \frac{k}{13}\)
or \(k = 7.8\)
How can you deduce side with 12 and side with k are the respective same side of the two different triangles? I initially did (5/7.2)= (13/k)
Yes, you can get it incorrect, if you don't look into the diagram.
Kindly look into the diagram in the previous post,
For the smaller triangle the side 7.2 is between the angles:
(90 - x) and 90For the larger triangle , side 12 is between the angles:
(90 - x) and 90the side of length 5 is between the angles :
90 and x The ratio for similar triangles are in the same corresponding sides and remember: Diagram are not drawn to scale