CBSE Notes, Lectures

CBSE - Mathematics - Constructions

Constructions

NCERT Exercise Exercise 11.2 - Page No: 195

Construct a right triangle whose base is 12cm and sum of its hypotenuse and other side is 18 cm.

Answer

 

Steps of Construction: 

Step 1: A ray BX is drawn and a cut off a line segment BC = 12 cm is made on it.

Step 2: ∠XBY = 90° is constructed.
Step 3: Cut off a line segment BD = 18 cm is made on BY. CD is joined.
Step 4: Perpendicular bisector of CD is constructed intersecting BD at A. AC is joined.
Thus, ΔABC is the required triangle.   

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