SOLUTION: A right triangle has an area of 60 cm2. The base of the triangle is 15 cm long. What is the length of the hypotenuse of the right triangle?

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Question 941423: A right triangle has an area of 60 cm2. The base of the triangle is 15 cm long. What is the length of the hypotenuse of the right triangle?
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
area of triangle = 60 cm^2
base = 15 cm
formula: area = %281%2F2%29+%2A+base%2Aheight
+60+=+%281%2F2%29%2A15%2Aheight
multiply with 2 on both sides
+60%2A2+=+%281%2F2%29%2A15%2A+height%2A2
+120+=++15%2A+height
divide with 15 on both sides
+120%2F15+=+15%2Aheight%2F15
+8+=+height
height = 8 cm
as per Pythagorean theorem
base^2+height^2= hypotenuse^2
15^2+8^2= height^2
225+64 = height^2
289 = height^2
height^2 = 289
+height=+sqrt%28289%29
height = 17 cm
Result : height =17 cm