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Question 54

70 sticks each of unit length are combined to form a right angle triangle without breaking any stick. What is the area (in square units) of the triangle?

right angle triangle follows the pythogores theorem

lets consider the side be 20,21,29 which is equal to 70

$$\sqrt{hypotenuse^2}$$ = $$\sqrt{length^2 + base^2 }$$ 

$$\sqrt{29^2}$$ = $$\sqrt{20^2 + 21^2 }$$ 

841 = 400+ 441

so the area of triangle = $$\frac{1}{2}\times base\times height$$

                                  = $$\frac{1}{2}\times 20\times 21$$

                                   = 210$$cm^2$$ 

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