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pishuonlain [190]
3 years ago
6

How many triangles can be constructed with angles measuring 120°, 40°, and 10°? one more than one none

Mathematics
2 answers:
FrozenT [24]3 years ago
4 0
I might be wrong but i believe you can make more than one with those 3 angles. the 120 and 40 can make one and if angled right can make 2 and the 10 deg on one of the other angles lines would give you a 3rd.
 
Margaret [11]3 years ago
3 0
The interior angles of a triangle must sum to 180 degrees.

\rm 120 + 40 + 10\ne180

These angles do not sum to the proper amount. No triangle can be constructed using all three angles.
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Ann [662]

Answer:

9

Step-by-step explanation:

<u>→You can use the Pythagorean Theorem to solve this, by plugging in the numbers, like so:</u>

<u />a^2+b^2=c^2\\x^2+(x-3)^2=(x+3)^2

x^2+x^2-6x+9=x^2+6x+9

<u>→Subtract </u>x^2-6x+9<u> from both sides:</u>

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<u>→Subtract 12x from both sides:</u>

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<u>→Factor out x:</u>

<u />x(x-12)=0

<u>→Separate, set = to 0, and solve:</u>

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→So we have 0 and 12, as our answers. However, we cannot have 0 as a side length, since this would not be possible.

→All we need to do is take 12, and plug it into the equation for the shortest leg.

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