the base of a right angled triangle exceeds the corresponding height by 10 cm.find all the sides of area of this triangle is600sqcm
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30 , 40 & 50 cm are the sides of right angled triangle where base exceeds height by 10 am and area = 600 cm²
Step-by-step explanation:
Area of right angle triangle = (1/2) Base * height
Height = H
Base = H + 10
(1/2)(H + 10) H = 600
=> H² + 10H = 1200
=> H² + 10H - 1200 = 0
=> H² + 40H - 30H - 1200 = 0
=> H(H + 40) - 30(H + 40) = 0
=> ( H - 30)(H + 40) =0
=> H = 30
Height = 30 cm
Base = 40 cm
Hypotenuse = √30² + 40² = 50 cm
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