The triangles that Sebangun [1945900] The Triangles that Sebangun - If in the discussion of the previous material we have studied the congruence in the wake flat then in this discussion we will be more focused in discussing the material on cul- ture in triangles. Here The Basic Mathematical Formula will explain the terms of the corresponding triangles and their applications. Therefore, consider carefully the following discussion: Terms of the Triangles Established Please observe both of the triangular images below: [1945907] In the triangle ABC and DEF above, the comparison between the corresponding sides of the two triangles can be described as follows:
DE / AB = 4/8 = 1/2
[194590] EF / BC = 3/6 = 1/2
DF / AC = 5/10 = 1/2 ]
With the d Thus, it can be concluded that AB / DE = BC / EF = AC / DF = 1/2
Measurements at corresponding angles on both triangles you will find that angle A = angle D, angle B = angle E, and angle C = angle F .
Thus, the congruence of the two triangles can be known by searching or proving that the ratio of the corresponding sides length has the same value. [1945907]
Now consider a right triangle image Which is below:
In the right triangle ABC and DEF above, we can see that angle A = angle D is 90 0
Whereas angle B = angle E is 60 0 . Therefore, we can calculate the angle C and the angle F by doing the calculations:
Angle C = angle F = 180 0 - 60 0 = 30 0
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If you measured the lengths of the sides present in the two triangles, the result of the comparison would be:
[1945907] AB / DE = BC / EF = AC / DF
Due to the right triangle ABC and DEF The length of the corresponding sides has the same value and the corresponding angles also have the same size, it can be concluded that the triangle ABC is similar to the triangle DEF
Thus, we can conclude that the congruence of the two triangles can be known by showing that the corresponding angles between the two triangles have a value Which is just as great. Thus, the condition for the two triangles to be said is:
1. Comparison of corresponding side lengths worth
2. Two pairs of corresponding angles are as large as
Thus the material explanation of The Triangles of Sebangun and the conditions that must be fulfilled so that two triangles can be said to be similar . Hopefully you can understand it well, and if there are difficulties in understanding the above explanation you can ask the parents or teachers at school. Or you can also submit it in the comments field below this post. See you later on later math subject matter.
See also the article on The Congruent Triangles
Source: Salamah. U. 2012. Berlogika dengan Matematika 3. Solo: Platinum