Question
Construct an isosceles Δ ABC such that:
Base AC = 5 cm and base angle = 75°. Measure the other two sides of the triangle.

Answer

Steps of Construction:
We know that the base angles of an isosceles triangle are equal.

(i) Draw a line segment $AC =5 cm$.
(ii) At A and $C$, draw rays making an angle of $75^{\circ}$ each which intersects each other at $B$.
$\triangle A B C$ is the required triangle.
On measuring the equal sides, each is $9.3 cm$ in length.

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