9514 1404 393
Answer:
10
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.
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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.
