PROMPT ANALYSIS

Triangle ABC is given with AD touching BC at D

SUPERSET

The answer could be either yes or no.

TRANSLATION

Area =½ x base x height. In order for the area of 2 triangles to be same either all sides should be same. Or product of base and height should be equal. This could also mean that base for both the triangle is same and the height is also same. In order to know the answer

1# we need the exact value of the parameters.

2# relation between the parameters or characteristics is required.

STATEMENT ANALYSIS

St 1: AD⊥BC. We can say that AD is the common height for both the triangles. But nothing can be said about the base i.e CD and BD.INSUFFICIENT

St 2: CD = BD. one sides of both are equal. But cannot be said anything about the respective height or the other two sides of the triangle. INSUFFICIENT

St 1 & St 2: we get the height and base of two triangles equal. Hence the product of base and height will be equal. Hence the area for both triangles will be equal.

Option C

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