Question

  In triangle ABC, angle A is 90 . 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).

A 24/5cm Correct Answer Incorrect Answer
B 120/37cm Correct Answer Incorrect Answer
C 40/5cm Correct Answer Incorrect Answer
D 24 /7cm Correct Answer Incorrect Answer

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

Practice Next
×
×