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Triangles — MATHS STD 7 — Question

ICSE BoardEnglish MediumSTD 7MATHSTriangles4 Marks
Question
Construct an equilateral Δ ABC such that:
AB = 5 cm. Draw the perpendicular bisectors of BC and AC. Let P be the point of intersection of these two bisectors. Measure PA, PB, and PC.
✓

Answer

Steps of Construction :
(i) Draw a line segment $A B=5 cm$.

(ii) With centres $A$ and $B$ and radius $5 cm$ each, draw two arcs intersecting each other at $C$.
(iii) Join $A C$ and $B C \triangle A B C$ is the required triangle.
(iv) Draw the perpendicular bisectors of sides $A C$ and $B C$ which intersect each other at $P$.
(v) Join PA, PB, and PC.
On measuring, each is $2.8 cm$.

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