Do Angles in Triangles Ensure Equality of Heights?

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Triangles with the same angles are classified as similar triangles, which means all corresponding lengths, including heights, are proportional. This proportionality applies to the sides as well as other dimensions of the triangles. The discussion highlights the relationship between angles and the equality of corresponding heights in similar triangles. The clarification of "angles" instead of "angels" emphasizes the mathematical focus. Overall, the principle of similarity ensures that the heights of triangles with equal angles maintain a consistent ratio.
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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