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16 votes
What is the length of the missing side?

What is the length of the missing side?-example-1
User Denten
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1 Answer

23 votes
23 votes

9514 1404 393

Answer:

10

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.

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Additional comment

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.

User RuBiCK
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3.1k points