Using a ruler and a pair of compasses only, construct:

A triangle ABC given AB = 4 cm, BC = 6 cm and ∠ABC = 90°.

Question

Using a ruler and a pair of compasses only construct A triangle ABC given AB 4 cm BC 6 cm and ABC 90

Accepted Answer

Solution A triangle is said to be rightangled if one of its inner angles is 90 degrees or if any one of its angles is a right angle Consequently other names for this triangle include the right triangle and 90degree triangle Steps to construct Step 1 Draw a line segment AB 4cm Step 2 At point B draw a ray BX making an angle of 90o and cut off BC 6cm Step 3 Join AC Step 4 Draw the perpendicular bisectors of sides AB and AC intersecting each other at point O Step 5 With center as O and radius equal to OB or OA or OC draw a circle which passes through points A B C

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