Two Isosceles triangles have congruent vertex angles. Explain why the two triangles must be similar .

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31-01-2014
Mathematics

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Two Isosceles triangles have congruent vertex angles. Explain why the two triangles must be similar .

Sagot :

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Lollyidn Lollyidn · Answer 1 · 2014-01-31T13:01:24-05:00

Lollyidn Lollyidn

31-01-2014

2 isosceles triangles with congruent vertex angels. ;-))

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Gisroa802idn Gisroa802idn · Answer 2 · 2021-03-26T14:40:27-04:00

Answer:

they are always similar because if the vertex of one is congruent to the vertex angle of another.

Step-by-step explanation:

let the congruent vertex angles have measure x. in any triangle the three angles have to add up to 180 so the base angle has to add up to 180-x in both triangles. in a isosceles triangle the base angles are congruent so each base angle has to measure (180-x)/2 in both triangles. therefore all three angle of the 2 triangles are congruent so the triangles must be similar by AA.

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