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chetanojha
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If 3 angles of one T are equal to three angles of another T then there corresponding sides must be proportional.chetanojha wrote:Please help me to understand this.
Drop perpendicular height h in the smaller T and H in the bigger T.
You see that both h and H subtend the same angle x, and both s and S subtend the same angle y. Using proportionality you derive
h/H =s/S
h=sH/S
Now
Area of Big T is 2 times Area of Small T
SH/2=2(sh/2)=sh
SH/2=(s(sH/S)) using h from above
S^2 x H = 2 x s^2 x H
S= s 2^.5
