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

Using ruler and compasses only, construct a triangle ABC in which BC = 4 cm, ∠ACB = 45° and the perpendicular from A on BC is 2.5 cm. Draw the circumcircle of triangle ABC and measure its radius.

Solution:

A circle that passes through each of the triangle's vertices is known as the circumscribed circle or circumcircle of a triangle. This circle's circumcenter and circumradius are its centre and radius, respectively.

Steps to construct:

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

Step 2: At point B, draw a perpendicular and cut off BE = 2.5cm.

Step 3: From, E, draw a line EF parallel to BC.

Step 4: From point C, draw a ray making an angle 45o which intersects EF at point A.

Step 5: Join AB.

Step 6: Draw the perpendicular bisectors of sides BC and AC intersecting each other at point O.

Step 7: Join OB, OC and OA.

Step 8: With O as the center and radius OB or OC or OA draw a circle which passes through points A, B, C.

Step 9: On measuring the radius OB = 2cm. Related Questions

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