SOLUTION: . (1 pt) The lengths of the legs of a right triangle are 25 cm and 60 cm. What is the length of the hypotenuse? A. 42.5 centimeters

Algebra ->  Triangles -> SOLUTION: . (1 pt) The lengths of the legs of a right triangle are 25 cm and 60 cm. What is the length of the hypotenuse? A. 42.5 centimeters       Log On


   

Question 1004708: .

(1 pt)
The lengths of the legs of a right triangle are 25 cm and 60 cm.

What is the length of the hypotenuse?





A.
42.5 centimeters



B.
35 centimeters



C.
65 centimeters



D.
9.2 centimeters




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Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
We will use the pythagorean theorem a%5E2+%2B+b%5E2+=+c%5E2 where 'a' and 'b' are the legs. The longest side is 'c' which is the hypotenuse.

In this case, a = 25, b = 60 and c is unknown. So we'll leave it as c and solve for c

a%5E2+%2B+b%5E2+=+c%5E2

25%5E2+%2B+60%5E2+=+c%5E2 Plug in a = 25, b = 60. Solve for c

625+%2B+3600+=+c%5E2

4225+=+c%5E2

c%5E2+=+4225

sqrt%28c%5E2%29+=+sqrt%284225%29

c+=+65

The hypotenuse is 65 cm long.