Class 9MathematicsAreas of Parallelograms and TrianglesMix Examples - Areas of Parallelograms and Triangles
MediumState whether each of the following statements is true or false:
$(1)$ If $ar(ABC) = 96 \, cm^2$ for the parallelogram $ABCD$,then $ar(ABCD) = 192 \, cm^2$.
$(2)$ Area of a right triangle = Product of the sides forming the right angle.
$(1)$ If $ar(ABC) = 96 \, cm^2$ for the parallelogram $ABCD$,then $ar(ABCD) = 192 \, cm^2$.
$(2)$ Area of a right triangle = Product of the sides forming the right angle.
(A) $(1)$ True. $A$ diagonal of a parallelogram divides it into two triangles of equal area. Therefore,$ar(ABCD) = 2 \times ar(ABC) = 2 \times 96 \, cm^2 = 192 \, cm^2$.
$(2)$ False. The area of a right triangle is given by $\frac{1}{2} \times \text{Product of the sides forming the right angle}$.
$(2)$ False. The area of a right triangle is given by $\frac{1}{2} \times \text{Product of the sides forming the right angle}$.
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