E is the mid-point of the side AB of a parallelogram ABCD. If the area of the ABCD is 60 sq. cm, then the area of ΔBDE is :
60 sq. cm
30 sq. cm
15 sq. cm
10 sq. cm
Theorems on Area
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Question

E is the mid-point of the side AB of a parallelogram ABCD. If the area of the ABCD is 60 sq. cm, then the area of ΔBDE is : 1. 60 sq. cm 2. 30 sq. cm 3. 15 sq. cm 4. 10 sq. cm

KnowledgeBoat · Accepted Answer

Draw diagonal BD. A diagonal of a parallelogram divides it into two triangles of equal area : Area (ΔABD) = Area( gm ABCD) = (60) = 30 cm2. Point E is the midpoint of AB, so: BE = AB A median of a triangle divides it into two triangles of equal area. Area(ΔBDE) = Area(ΔABD) = (30) = 15 cm2. Hence, option 3 is the correct option.

Mathematics

E is the mid-point of the side AB of a parallelogram ABCD. If the area of the ABCD is 60 sq. cm, then the area of ΔBDE is :
60 sq. cm
30 sq. cm
15 sq. cm
10 sq. cm

Theorems on Area

Related Questions

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Two diagonals of a parallelogram ABCD intersect at O. If the area of the parallelogram is 20 cm², then the area of ΔAOB is :
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15 cm²
10 cm²
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Mathematics

E is the mid-point of the side AB of a parallelogram ABCD. If the area of the ABCD is 60 sq. cm, then the area of ΔBDE is :60 sq. cm30 sq. cm15 sq. cm10 sq. cm

Theorems on Area

Related Questions

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E is the mid-point of the side AB of a parallelogram ABCD. If the area of the ABCD is 60 sq. cm, then the area of ΔBDE is :
60 sq. cm
30 sq. cm
15 sq. cm
10 sq. cm

P and Q are two points on the side DC of a ∥ gm ABCD. If the area of ΔPAB is 10 cm², then the area of ΔQAB is :
5 cm²
10 cm²
15 cm²
20 cm²

Two diagonals of a parallelogram ABCD intersect at O. If the area of the parallelogram is 20 cm², then the area of ΔAOB is :
20 cm²
15 cm²
10 cm²
5 cm²