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Area of Triangles

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Question

What is the sum of areas of squares drawn on base and height of a right-angled triangle, if the length of the hypotenuse is $5 c m$ ? (Answer in terms of ${c m}^{2}$ )

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Solution

From the figure,the hypotenuse is 5cm.
For hypoenuse to be 5cm the base=3cm & h=4cm
Area of square $= 4^{2} + 3^{2} = 25 c m^{2}$

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