# ML Aggarwal Solutions Class 10 Mathematics Solutions for Constructions Exercise 16.2 in Chapter 16 - Constructions

Question 4 Constructions Exercise 16.2

Construct a triangle with sides 3 cm, 4 cm and 5 cm. Draw its circumcircle and measure its radius.

Solution:

A closed, two-dimensional shape is a triangle. It is a polygon with three sides. Straight lines make up all of the sides. The vertex is the intersection of two straight lines. The triangle therefore has three vertices. Angles are formed by each vertex.

Steps to construct:

Step 1: Draw a line segment BC = 4cm.

Step 2: With Center as B and radius 3cm, with center as C and radius 5cm draw two arcs which intersect each other at point A.

Step 3: Join AB and AC.

Step 4: Draw the perpendicular bisector of sides BC and AC which intersects each other at point O.

Step 5: Join OB.

Step 6: With center as O and radius OB, draw a circle which pass through A, B, C.

Step 7: On measuring the radius OB = 2.5cm.

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