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The legs of a right triangle are 4 units and 7 units whats the length of the hypotenuse

User Chrisoula
by
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2 Answers

7 votes

Answer:

square root of 65

Step-by-step explanation:

a2 plus b2 equals c2

42 plus 72 equals c2

16 plus 49 equals c2

65 equals c2

the sqr of 65 equals the sqr of c2

8.06 equals c

P.S.-c2 means that number squared and sqr mean the square root

User David Potter
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5.9k points
2 votes
Use the Pythagorean Theorem (a2 + b2 = c2), where a and b are the leg lengths and c is the hypotenuse, therefore:
a2 + b2 = c2, a=4, b=7, c=?
4x4 + 7x7 = c2
16 + 49 = c2
c = √65
so c = 8.06
User Rickard Von Essen
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6.5k points