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ikadub [295]
3 years ago
12

The angle of a triangle ABC are in the ratio of 8:3:4. what is the measure of the smallest angle?

Mathematics
2 answers:
nirvana33 [79]3 years ago
8 0
Well, triangle interior angles = 180 degrees ALWAYS

so we need 180 to basically be in a ratio of 8:3:4

8+3+4 = 15, so the ratio has 15 'parts'

180 / 15 = 12

every 'part' is equal to 12 degrees

so 8:3:4, 3 is the smallest 'part'

3 x 12 = 36 degrees
icang [17]3 years ago
4 0
The answer should be 3

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Since segment AC bisects (aka cuts in half) angle A, this means the two angles CAB and CAD are the same measure. I'll refer to this later as "fact 1".

Triangles ABC and ADC have the shared segment AC between them. By the reflexive property AC = AC. Any segment is equal in length to itself. I'll call this "fact 2" later on.

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To summarize so far, we have these three facts

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Once we prove the triangles are congruent, we use CPCTC (corresponding parts of congruent triangles are congruent) to conclude that AB = AD and BC = BD. These pair of sides correspond, so they must be congruent in order for the entire triangles to be congruent overall.

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