Question
Draw $\triangle\text{ABC}$ and $\triangle\text{PQR}$ such that they are equal in area but not congruent.
✓
Answer
In $\triangle\text{ABC},$
$\text{Area}=\frac{1}{2}\times\text{BC}\times\text{AL}$ $=\frac{1}{2}\times5\times4=10\text{ cm}^2$
and in $\triangle\text{PQR}$
$\text{Area}=\frac{1}{2}\times\text{QR}\times\text{PR}$ $=\frac{1}{2}\times5\times4=10\text{ cm}^2$
In these triangles,
Areas of both triangles are equal but are no congruent to each other.
$\text{Area}=\frac{1}{2}\times\text{BC}\times\text{AL}$ $=\frac{1}{2}\times5\times4=10\text{ cm}^2$
and in $\triangle\text{PQR}$
$\text{Area}=\frac{1}{2}\times\text{QR}\times\text{PR}$ $=\frac{1}{2}\times5\times4=10\text{ cm}^2$
In these triangles,
Areas of both triangles are equal but are no congruent to each other.
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