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.

(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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