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The sides of a triangle are 35cm, 54cm, and 61cm, repectively. Find the length of its longest altitude.

Posted by Sakshi Kumari 5 years, 4 months ago

CBSE > Class 09 > Mathematics

1 answers

Sakshi Kumari 5 years, 4 months ago

S = (a+b+c)÷ 2 (35+54+61)÷2 =150÷2= 75 cm. : Area of triangle =√ s (s-a)(s-b)(s-c) =√75(75-35)(75-54)(75-61) =√74×40×21×14 = 420√5 cm^2 Altitude on AB = (2+ area) ÷ AB 2 × 420 √5 ÷ 35. = 24√5 cm Similarly , altitude on AC =. 2 × 420√5 ÷ 54 = 15.55√5 cm Length of longest altitude will be perpendicular on smallest side of the triangle from oppodite vertex ANS: 24√5 cm

1Thank You

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