rishanabloom.bsky.social
LightNews LightNews
rishanabloom.bsky.social
@rishanabloom.bsky.social
12 followers 53 following 1 posts
Posts Replies Media Videos
Reposted by rishanabloom.bsky.social
mathforge.org
Y9s smashed similar triangles, so had to come up with an extension on the spot!

#MathsToday #ITeachMaths
A diagram consisting of two congruent right angled triangles, ABC and ADE, with right-angles at C and E, touching at the common vertex A so that DAC is a straight line and EAB is also a straight line. Then a point F is marked on AB so that BF and BC are the same length, and F is joined to C by a straight line. A point G lies on the continuation of AD, beyond D, so that DG and DE are the same length, with G then joined to E. Angle ABC is set to an arbitrary angle of 37 degrees and the question is to find all other angles. Then what does that imply for triangles AFC and AEG? And with a,b,c as the lengths of the original triangle, what does that imply for those lengths?
November 16, 2024 at 12:11 AM