NCERT Solutions for Class 9 Maths Chapter 11
Important NCERT Questions
Constructions
NCERT Books for Session 2022-2023
CBSE Board, UP Board and Other state Boards
EXERCISE 11.2
Page No:195
Questions No: 5
Construct a right triangle whose base is 12 cm and sum of its hypotenuse and other side is 18 cm.
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Steps of construction
(i) Draw a line segment AB = 12 cm.
(ii) At point A, Using ruler and compass, draw an angle ∠BAX = 90°.
(iii) Taking A as centre and 18 cm as radius, draw an arc which intersect AX at D.
(iv) Join B to D. Draw a perpendicular bisector (MN) of BD which intersects AD at C.
(v) join B to C. Triangle ABC is the required triangle.
Justification
Point C lies on the perpendicular bisector of BD.
So, BC = CD
Here, AD = AC + CD
⇒ AD = AC + BC [∵ BC = CD]