Maths / Areas Of Parallelograms And Triangles / Triangles on Same Base and Between Same Parallels

QUESTION

$\Delta ABC\;and \; \Delta ABP$  are on the same base AB. Points C and P are on line l, such that $AB \parallel l.$ If  $ar(\Delta ABP)$ $=12\;cm^2,$ then $ar(\Delta ABC)$ is equal to

 OPTIONS A. $6\;cm^2$ B. $12\;cm^2$ C. $24\;cm^2$ D. $36\;cm^2$
Right Option : B

EXPLANATION
Explain TypeExplanation Content
Text

As $\Delta ABC\;and \; \Delta ABP$  are on the same base AB and points C and P are on line l, where  $AB \parallel l.$

$ar(\Delta ABP)$ $= ar(\Delta ABC)$ $=12\;cm^2,$

Triangles on the same base and between the same parallel have equal area.

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