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Question Number 218021 by mnjuly1970 last updated on 26/Mar/25

	Answered by mr W last updated on 27/Mar/25

	Commented by mr W last updated on 27/Mar/25

	$r i g h t a n g l e t r i a n g l e s h a t c h e d$ $w i t h t h e s a m e c o l o r a r e s i m i l a r .$ $\frac{a_{2}}{r_{a}} = \frac{b_{1}}{r_{b}} . . . (i)$ $\frac{c_{1}}{r_{c}} = \frac{b_{2}}{r_{b}} . . . (i i)$ $\frac{c_{2}}{r_{c}} = \frac{d_{1}}{r_{d}} . . . (i i i)$ $\frac{a_{1}}{r_{a}} = \frac{d_{2}}{r_{d}} . . . (i v)$ $Σ :$ $\frac{a_{1}}{r_{a}} + \frac{a_{2}}{r_{a}} + \frac{c_{1}}{r_{c}} + \frac{c_{2}}{r_{c}} = \frac{b_{1}}{r_{b}} + \frac{b_{2}}{r_{b}} + \frac{d_{1}}{r_{d}} + \frac{d_{2}}{r_{d}}$ $\Rightarrow \frac{a}{r_{a}} + \frac{c}{r_{c}} = \frac{b}{r_{b}} + \frac{d}{r_{d}} ✓$
	Commented by mnjuly1970 last updated on 27/Mar/25

	$t h a n k y o u s o m u c h s i r W$
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