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3 years ago

What is the length of the missing side?

Mathematics

1 answer:

nika2105 [10]3 years ago

5 0

9514 1404 393

Answer:

Step-by-step explanation:

The Pythagorean theorem tells you the relationships of sides in a right triangle is ...

a² + b² = c² . . . . . . where 'a' and 'b' are the legs, and 'c' is the hypotenuse

6² +8² = c²

36 +64 = c² = 100

c = √100 = 10

The length of the hypotenuse is 10.

_____

<em>Additional comment</em>

The ratio of the leg lengths is 8/6 = 4/3. The only right triangle with legs in the ratio 4/3 has the relationship ...

hypotenuse : long leg : short leg = 5 : 4 : 3

If you multiply these numbers by 2, you see they correspond to the side lengths in this triangle. Your familiarity with a 3-4-5 right triangle can let you write down the answer immediately.

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3 years ago

i need help with the last two. I forgot the formula and wondering if you will help me find which one is and isnt a triangle

Nimfa-mama [501]

Answer:

3. D) 26, 7, 31

4. B) 6, 34, 27

Step-by-step explanation:

Both #3 and #4 use the same strategy: the two shorter sides' sum has to be greater than the longer side.

#3:

2 + 8 is 10, which is less than 13. So A wouldn't form a triangle.

12 + 22 is 34, which is the length of the longer side. So B wouldn't form a triangle either.

14 + 18 is 32, which is less than 40. So C wouldn't form a triangle.

7 + 26 is 33, which is greater than 31. So D would form a triangle.

D. 26, 7, and 31 are the only lengths of the ones shown that form a triangle.

#4:

17 + 18 is 35, which is greater than 19. So A would form a triangle.

11 + 22 is 33, which is greater than 25. So C would also form a triangle.

5 + 18 is 23, which is greater than 20. So D would form a triangle.

6 + 27 is 33, which is less than 34. So B wouldn't form a triangle.

B. 6, 34, and 27 are the only lengths of the ones shown that don't form a triangle.

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3 years ago

Whats the sum of 7/2/5 yards and 3/5 yards

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3 years ago

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