Q. 75.0( 1 Vote )

(1) From the measures given in the figure alongside, find the area of Δ ABC.

(2) Using Pythagoras’ theorem find the length of side AC.

(3) Find the area of Δ ABC using Heron’s formula.


Answer :

(1) Given:


AB = 12 cm


BC = 5cm


Area of Δ ABC =


Area of Δ ABC = 30 sq cm


(2) According to pythagoras’ theorem:


AB2 + BC2 = AC2


AC2 = 122 + 52


AC = 13 cm


(3) Length of one side of the triangle (a) = 5 cm


Length of second side of the triangle(b) = 12 cm


Length of third side of the triangle (c) = 13 cm


Semi perimeter (s) =


According to Heron’s formula


Area of the triangle = √(s(s-a)(s-b)(s-c))


Area of the triangle = 30 sq cm


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