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

Question 2 Constructions Exercise 16.2

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

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

Solution:

A triangle is said to be right-angled 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 90-degree 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.

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