Question
In triangle ABC, angle A is 90
src="file:///C:/Users/ashut/AppData/Local/Temp/msohtmlclip1/01/clip_image002.png" alt="" width="6" height="20" /> . AB =6cm. AC = 8cm. A square DEFG is drawn inside the triangle whose side FG is coincident with BC. E and D lie on the sides AB and AC respectively. FIND OUT Length of the side of the square (cm).Solution
∠A = 90° AB = 6cm AC =8cm BC = 10 cm When a square is formed inside the triangle and one side of the square coincides with the hypotenuse The length of side of the square = ABC/ a² +b² +c² =(6×8×10)/(36+64+48) = 480/148 = 120/37cm 
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