If P, R, T are the areas of parallelogram, a rhombus and a triangle standing on the same base and between the same parallel lines, then which of the following is true? |
$R<P<T$ $P>R>T$ $R =P =T$ $R=P=2T$ |
$R=P=2T$ |
Parallelogram and Rhombus: Both the parallelogram and the rhombus will have the same base and height since they are between the same parallel lines. Therefore, their areas will be the same. Thus, P = R Triangle: The area of the triangle with the same base and height will be half of the area of the parallelogram or the rhombus. Therefore, T = 1P/2 The correct answer is Option (4) → $R=P=2T$ |