SOLUTION: The sum of the length of the base and height of a triangle is 24 cm. If the Area of the triangle is 54 square cm, find the base and height
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Question 459788: The sum of the length of the base and height of a triangle is 24 cm. If the Area of the triangle is 54 square cm, find the base and height Answer by Gogonati(855) (Show Source):
You can put this solution on YOUR website! Let the base of the triangle = x cm, then the height will be 24-x cm. Since the
area is , we write the equation:
. Now we solve the equation:Multiply both sides by 2 and
get:108=24x-x^2}}}. Set the equation equal to zero:
, solving this quadratic equation we get x=6 and x=18.
Answer: The base of the triangle is 6cm and the height is 24-6= 18 cm.
