SOLUTION: In a right triangle, the ratio of the legs is one to two. If the area of the triangle is twenty-five square centimeters, what is the length of the longest leg?
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Question 690846: In a right triangle, the ratio of the legs is one to two. If the area of the triangle is twenty-five square centimeters, what is the length of the longest leg?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The area of the right triangle is
where is the base and
is the height
given:
By substitution:
given: cm2
The longest leg is , so
The longest leg is 10 cm
check:
OK
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