Help with Trigonometry: Combine Two Triangles

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The discussion centers on combining two triangles, a blue main triangle and a red secondary triangle, with specific side lengths provided. The red triangle has sides a=1.25, b=4.5, and c=4.67, while the new triangle formed has sides a=98.75, b=20.5, and c=100.85. A participant points out that the triangles appear to be similar, but the height and base of the small triangle seem to be switched, leading to differing height-base ratios. For the triangles to be similar, their ratios must match, which is not the case with the current dimensions. The conversation highlights the importance of correctly identifying triangle dimensions for accurate combination and similarity assessment.
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Hello Gys

I have new question for you today... if u ready, let's begin



http://www.mediafire.com/view/?2pp4u074ppijfbt

we have two triangles, the main one is the blue the secondary is the red.

if we divide the main triangle into two triangles we will get

The red triangle a=1.25, b=4.5 and c=4.67

The new triangle will be a=100-1.25=98.75, 25-4.5=20.5 so c=sqrt((98.75)^2+(20.5)^2) ===> c=100.85

===========================
Now we have two triangles
1- a=1.25, b=4.5 and c=4.67
2- a=98.75, b=20.5 and c=100.85

The question is there is some thing missing because when we want to combine the two triangles again suppose we get same length's of the the main triangles ( blue triangles ).

Any one could get the point ??

Tnx all
 

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hgphtgi said:
Hello Gys

I have new question for you today... if u ready, let's begin



http://www.mediafire.com/view/?2pp4u074ppijfbt

we have two triangles, the main one is the blue the secondary is the red.

if we divide the main triangle into two triangles we will get

The red triangle a=1.25, b=4.5 and c=4.67

The new triangle will be a=100-1.25=98.75, 25-4.5=20.5 so c=sqrt((98.75)^2+(20.5)^2) ===> c=100.85

===========================
Now we have two triangles
1- a=1.25, b=4.5 and c=4.67
2- a=98.75, b=20.5 and c=100.85

The question is there is some thing missing because when we want to combine the two triangles again suppose we get same length's of the the main triangles ( blue triangles ).

Any one could get the point ??

Tnx all

Things are really fouled up in the drawing. From appearances, the small triangle and large triangle are similar, but it looks like the height and base of the small triangle have been switched. Assuming the base of the small triangle is really 4.5 and the height is really 1.25, the triangles are not similar, since their height-base ratios are different (1.25/4.5 ≠ 25/100).

If the base of the small triangle happened to be 5, then the two triangles would be similar.
 
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