Math Question and Answers


Question and Answers Forum

All Questions Topic List
Geometry Questions
Previous in All Question Next in All Question
Previous in Geometry Next in Geometry
Question Number 6217 by Rasheed Soomro last updated on 18/Jun/16

Commented by Rasheed Soomro last updated on 22/Jun/16

$∣ F J ∣= ?$
Commented by sandy_suhendra last updated on 22/Jun/16

$G i s o n l i n e A B a n d F G ⊥ A B$
	Answered by sandy_suhendra last updated on 22/Jun/16

	$B I = a \to H I = F I = \frac{3}{4} x + a$ $F C = G B = \frac{1}{4} x \to G I = \frac{1}{4} x + a$ ${F G}^{2} + {G I}^{2} = {F I}^{2}$ $\Leftrightarrow x^{2} + {(\frac{1}{4} x + a)}^{2} = {(\frac{3}{4} x + a)}^{2}$ $\Leftrightarrow x^{2} + \frac{1}{16} x^{2} + \frac{1}{2} a x + a^{2} = \frac{9}{16} x^{2} + 1 \frac{1}{2} a x + a^{2}$ $\Leftrightarrow \frac{1}{2} x^{2} = a x$ $\Leftrightarrow a = \frac{1}{2} x$ $△ F C J \sim △ J B I \to \frac{C J}{J B} = \frac{F J}{J I} = \frac{F C}{B I} = \frac{\frac{1}{4} x}{\frac{1}{2} x} = \frac{1}{2}$ $C J = \frac{1}{3} C B = \frac{1}{3} x$ $F J = \frac{1}{3} F I = \frac{1}{3} [\frac{3}{4} x + \frac{1}{2} x] = \frac{5}{12} x$
	Commented by Rasheed Soomro last updated on 23/Jun/16

	$NICE!$ $E v e n b e t t e r i f r e a s o n i n g f o r △ F C J \sim △ J B I$ $b e i n c l u d e d (f o r p e r f e c t n e s s o n l y) .$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum