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Question

The area of right-angled triangle is 96m3. If its base is three times its altitude, find the base.


Solution

Given base = 3 x Altitude

Area of Traingle = 1/2 x Base x Altitude
                            = 1/2 x 3 x Altitude x Altitude
Given Area = 96m² = 3/2 x Altitude²
              96 = 3/2 x Alt²
             => Alt² = 64
             => Alt = 8 m

Base = 3 x Altitude
         = 3 x  8
          = 24 m

Mathematics

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