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BigorU [14]
3 years ago
6

How do you tell if it's possible to make a triangle out of these side lengths? PLZ HELP!!!!!

Mathematics
1 answer:
Nastasia [14]3 years ago
3 0

Answer:

A

Step-by-step explanation:

square root of 73 is about 8.5

square root of 10 is about 3. multiply by 3, you get 9.

square root of 7 is about 2.6. multiply by 5, you get 13.

when determining if you can make a triangle, if all variants of two sides can add up to be greater than the third side, you can make the triangle. so 8.5+9 > 13; 13+9 > 8.5; 13+8.5 > 9. this means it can make a triangle and all you have to do is order the sides.

8.5 is smallest which corresponds to angle c because it's opposite. 9 goes to angle a, then finally 13 goes to angle b. thus, angles c, a, b is the order.

side note: the smallest side length will always correspond with the smallest angle.

hope this helps :)

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Refer to the attached image.

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By applying exterior angle property of the triangle which states:

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So, exterior angle C = m \angle A + m \angle B

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Now, applying angle sum property in triangle ABC which states:

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m \angle A + m \angle B + m \angle BCA = 180^\circ

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