What is the area of triangle ADC ........

Quantitative Aptitude (CDS) Coordinate Geometry

Direction: Consider the following for the next three (03) items:
ABCD is a quadrilateral with AB = 9 cm, BC = 40 cm, CD = 28 cm, DA = 15 cm and angle ABC is a right – angel.

What is the area of triangle ADC?

126 CM²

124 CM²

122 CM²

120 CM²

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Explanation:

Area of triangle ADC = (s(s − a)(s − b)(s − c))1/2
Where s is the semi perimeter of triangle = (AD + DC + CA) / 2 = 15+28+41 / 2 = 42 cm
Area = (42(42−15)(42−28)(42−41))1/2
= (42∗27∗14∗1)1/2
= 126 cm²