Draw an equilateral triangle ABC with each si | vedclass

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(A) $1$. First,draw an equilateral triangle $ABC$ where $AB = BC = CA = 4\, cm$.$2$. Draw a ray $AX$ making an acute angle with $AB$ on the side oppos

Vedclass · Accepted Answer

Yes,it is equilateral.

Vedclass · Answer

(A) $1$. First,draw an equilateral triangle $ABC$ where $AB = BC = CA = 4\, cm$.$2$. Draw a ray $AX$ making an acute angle with $AB$ on the side opposite to vertex $C$.$3$. Locate $5$ points $A_1, A_2, A_3, A_4, A_5$ on $AX$ such that $AA_1 = A_1A_2 = A_2A_3 = A_3A_4 = A_4A_5$.$4$. Join $A_5$ to $B$. Draw a line through $A_3$ parallel to $A_5B$ intersecting $AB$ at $B'$.$5$. Draw a line through $B'$ parallel to $BC$ intersecting $AC$ at $C'$.$6$. The triangle $AB'C'$ is the required triangle similar to $	riangle ABC$ with a scale factor of $\frac{3}{5}$.$7$. Since the ratio of corresponding sides is equal,the angles remain the same ($60^{\circ}$ each). Therefore,the new triangle is also equilateral.

Draw an equilateral triangle $ABC$ with each side $4\, cm$. Construct a triangle similar to it with a scale factor of $\frac{3}{5}$. Is the new triangle also equilateral?

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