MCQ
A triangle and a parallelogram are on the same base and between the same parallels. The ratio of the areas of triangle and parallelogram is:
- A$1 : 1$
- ✓$1 : 2$
- C$2 : 1$
- D$1 : 3$
✓
Answer
Correct option: B.
$1 : 2$
Area of a triangle $DFC$ $=\frac{1}{2}\times\text{base}\times\text{height}\\=\frac{1}{2}\times\text{DC}\times\text{FG}=\frac{1}{2}\times\text{DC}\times\text{h}$
Area of parallelogram $ABCD$ = base $\times $ height $= DC \times AE = DC \times h$
Required Ratio $=\frac{\frac{1}{2}\times\text{DC}\times\text{h}}{\text{DC}\times\text{h}}=1:2$
Hence, correct option is $(b)$.
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