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rederisbetter7637
26.01.2022 •
Mathematics
Hey guys! I have a problem that I can't solve. Help please! 14 points! There are 2 screenshots: 1 as for the triangle, and 1 for the rules.
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Ответ:
ASA/AAS
Skills needed: Triangle Geometry
Step-by-step explanation:
1) When looking at Triangles, there are 5 ways to determine Congruence.
---> SSS - When all 3 sides of one triangle are congruent to the other. (The tick marks are used to signify the congruent sides - The sides with 1 tick are congruent to each other, the sides with 2 ticks are congruent to each other, and so on).
---> AAA - When all 3 angles of one triangle are congruent to the other. Again, tick marks are used to signify the congruent angles.
---> SAS - When 2 sides of a triangle are congruent, and the angle in between those two sides of the first triangle is congruent to the second triangle.
---> ASA - When two angles and the side in-between the two angles of one triangle are congruent to the other triangle.
---> AAS - When two angles and one of the two sides not in-between the two angles of the first triangle are congruent to the other triangle.
----------------------------------------------------------------------------------------------------------
As mentioned before, ticks are almost always used to display congruence of sides and angles.
The congruence sign is![\cong](/tpl/images/2633/4395/2eb1c.png)
----------------------------------------------------------------------------------------------------------
2) In this problem,
, meaning the angle denoted by XBO (B is the vertex, and X and O are the endpoints) is congruent to the angle denoted by RCA (C is the vertex, R and A are the endpoints)
---> Also,
(Angle XOB is congruent to Angle RAC)
2 angles from the first triangle (
) are found to be congruent in the 2nd triangle (![\triangleCAR](/tpl/images/2633/4395/c49a9.png)
)
---------> ALSO:
-
---> One side from
is congruent to
, which is from the other triangle.
NOTE: This side is also in-between THE TWO ANGLES STATED BEFORE. This means that we have:
ASA ---> Since this has the side in-between the two angles.
ASA is the answer!
Ответ:
(8*1000000)+(8*1000000)=16 000 000