My Math Forum Similar triangles with scale factor sqrt 3

 Geometry Geometry Math Forum

 July 18th, 2017, 08:24 AM #1 Newbie   Joined: Jul 2017 From: Denmark Posts: 11 Thanks: 0 Similar triangles with scale factor sqrt 3 Hi! You have triangle ABC. On BC there's a point, D. AD splits ABC into two similar triangles (uniform triangles?) hence ABD~ACD. The scale factor is sqrt 3; what are the sizes of the angles in ABC? Last edited by skipjack; July 18th, 2017 at 09:59 AM.
 July 18th, 2017, 10:30 AM #2 Global Moderator   Joined: Dec 2006 Posts: 20,302 Thanks: 1974 If $\small\triangle$ABD ~ $\small\triangle$CAD, they want you to find 30$^\circ\!$, 60$^\circ\!$ and 90$^\circ\!$.
 July 19th, 2017, 02:57 AM #3 Newbie   Joined: Jul 2017 From: Denmark Posts: 11 Thanks: 0 How? Okey! But how do I find those angles?
 July 19th, 2017, 03:10 AM #4 Global Moderator   Joined: Dec 2006 Posts: 20,302 Thanks: 1974 Angles BDA and ADC are equal, so they are both 90$^\circ\!$. Hence angle BAC is also 90$^\circ\!$. Can you make progress from there?
 July 19th, 2017, 12:17 PM #5 Newbie   Joined: Jul 2017 From: Denmark Posts: 11 Thanks: 0 But who says that BD=DC? Bc if angles BDA and ADC are equal, the scale factor will be 1, right? As AD will be the same side in both triangles. And further on, if BDA and ADC are equal, it will split BC in two equal parts, hence scale factor 1 again. Or?
 July 19th, 2017, 11:59 PM #6 Global Moderator   Joined: Dec 2006 Posts: 20,302 Thanks: 1974 I didn't assert that BD = DC. One is 3 times the other.

 Tags factor, scale, similar, sqrt, triangels, triangles

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post Chikis Algebra 4 July 29th, 2014 12:16 AM strangepath Algebra 7 April 15th, 2013 10:50 PM taylor_1989_2012 Algebra 1 September 30th, 2012 05:36 AM julian21 Algebra 2 November 14th, 2010 08:51 AM julian21 Algebra 1 November 14th, 2010 08:40 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top