Do Angles in Triangles Ensure Equality of Heights?

  • Context: High School 
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SUMMARY

Triangles with the same angles are classified as similar triangles, which establishes that all corresponding lengths, including heights, are proportional. This means that if two triangles share identical angles, the ratio of their corresponding sides is equal, and this relationship extends to their heights as well. The discussion clarifies that the equality of heights in similar triangles is a direct consequence of their proportionality.

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lo2
For two triangles with the same angels the following applies.

That the relation between the same sides is equal to the realtion between the other same sides. I hope you do understand it.

Then my question is does that also apply for the height of the two triangles?
 
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Hey, once you get angels involved anything can happen!:rolleyes:

Oh, wait- you mean "angles". Triangles with the same angles are "similar triangles": it follows then that all length's are proportional. That is true not only for the lengths of the sides but all corresponding lengths, such as the height.
 
HallsofIvy said:
Hey, once you get angels involved anything can happen!:rolleyes:

Oh, wait- you mean "angles". Triangles with the same angles are "similar triangles": it follows then that all length's are proportional. That is true not only for the lengths of the sides but all corresponding lengths, such as the height.

Oops I did of course mean angles. And thank you for your answer.
 

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