Question 1. Asked on :09 February 2019:04:37:21 PM
In the following figure, D and E are two points on BC such that BD = DE = EC. Show that ar (ABD) = ar (ADE) = ar (AEC). Can you answer the question that you have left in the ’Introduction’ of this chapter, whether the field of Budhia has been actually divided into three parts of equal area?
-Added by Harshita Rathore Mathematics » Areas Of Pallelograms And Triangles
Answer:
Let us draw a line segment AM ⊥ BC.
We know that,
Area of a triangle = 1/2 x Base x Altitude
It is given that DE = BD = EC.
⊥ Area (ΔADE) = Area (ΔABD) = Area (ΔAEC)
It can be observed that Budhia has divided her field into 3 equal parts.
-Answered by Himanshi Verma On 09 February 2019:04:40:18 PM
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