A triangular piece of land has one of its angle equal to 90°.The area of this land is 330sq m.If one side adjacent to the right angle is 11m what are the lengths of the other two sides

Respuesta :

Answer:

  60 m, 61 m

Step-by-step explanation:

If "a" and "b" represent the lengths of the sides adjacent to the right angle, the area is ...

  area = (1/2)ab

Filling in the given information, we can find the other side to be ...

  330 m² = (1/2)(11 m)b

  60 m = b  . . . . . . divide by the coefficient of b

Then the remaining side can be found from the Pythagorean theorem:

  c² = a² + b² = 11²  + 60² = 3721

  c = √3721 = 61 . . . meters

The lengths of the other two sides are 60 m and 61 m.

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