How to find the Area of a Square in a Triangle
How can we find the area of a square in a triangle without any numbers, just some information about some equal sides?
See how it's done in this video.
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Пікірлер: 6
Great to see you back, cool problem!
@501MATHLETE
21 күн бұрын
Thanks... I plan to be more consistent going forward.
Another alternative is to draw lines LJ and KM. Let their intersection point be N and note that triangles KHL, LNK and JNM are congruent (same base, same angles), their bases are parallel and are similar to the big triangle (same angles). ==> A = (2/3 |BD|)^2 = 4/9 (|BF|^2 + |FD|^2) = 4/9 (45 + 45) = 40
@501MATHLETE
19 күн бұрын
Ahhhhh, yes. Excellent way of looking at it too.
Área del triángulo exterior =2*45=90 =2A+(A/4)=9A/4 ; A=40. Gracias y saludos.
@501MATHLETE
20 күн бұрын
Fantastic solution 👍🏼