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olga2289 [7]
3 years ago
13

Determine if a triangle can have the given side lengths. If yes, which type of triangle is formed by the side lengths. Choose th

e correct answer for both rows of the table. HELP GODDD PLZ PLZ PLZ HELP

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
3 0

Answer:

B and H.

Step-by-step explanation:

By the triangle inequality, any two sides of a triangle must be greater than the remaining side.

Triangle 1)

The side lengths are 9, 40, and 41.

We only need to check the two smaller sides. 9 + 40 = 49 which is indeed greater than 41. Therefore, this is indeed a triangle.

Remember that if:

c^2=a^2+b^2

We have a right triangle.

c^2>a^2+b^2

We have an obtuse triangle.

And if:

c^2

We have an acute triangle.

In all of these, c is the longest side.

Therefore, we will substitute 41 for c and 9 and 40 for the others:

41^2\text{ }?\text{ }40^2+9^2

Evaluate:

1681=1681

Since the two values are equivalent, the first triangle is a right triangle.

Triangle 2)

Again, adding up the two smaller sides gives that 8 + 10 = 18.

However, 18 is less than 21, so it does not satisfy the triangle inequality.

Therefore, the given side lengths cannot form a triangle.

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Answer:

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