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1 Let the height be x+1.75 and the base be x

2 1837.5 sq mm is the same as 18.375 sq cm

3 0.5*(x+1.75)*x = 18.375 => x2+1.75x-36.75 = 0

4 Using the quadratic equation gives x a positive value of 5.25

5 Therefore: height = 7 cm and base = 5.25 cm

6 Using Pythagoras: hypotenuse = 8.75 cm

7 Perimeter: 8.75+7+5.25 = 21 cm

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Q: What is the perimeter of a right angle triangle whose height is greater than its base by 1.75 cm with an area of 1837.5 square mm showing work to the nearest cm?
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