Question
Draw $\triangle\text{DEF}$ such that $DE= DF= 4\ cm$ and $EF = 6\ cm$. Measure $\angle\text{E}$ and $\angle\text{F}.$

Answer


Steps of construction:
Step I: Draw a line segment $EF$ of length $6\ cm$.
Step II: With $E$ as centre, draw an arc of radius $4\ cm$.
Step III: With $F$ as centre, draw an arc of radius $4\ cm$ intersecting the previous arc at $D.$
Step IV: Join $DE$ and $DF$ to get the desired triangle $DEF.$​​​​​​​
Step V: By measuring we get, $\angle\text{E}=\angle\text{F}=40^\circ.$

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