NCERT Class 7 Mathematics Solutions: Chapter 10 – Practical Geometry Exercise 10.5 Part 1

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1. Construct the right angled , where ,

Answer:

To construct: A right angled triangle where

,

Steps of construction:

(a) Draw a line segment .

A Line Segment QR=8 Cm

A line segment QR=8 cm

(b) At point , draw .

At Point Q, Made QX⊥QR

At point Q, made QX⊥QR

(c) Taking as centre, draw an arc of radius .

R as Centre an Arc of Radius 10 Cm

R as centre an arc of radius 10 cm

(d) This arc cuts QX at point P.

Arc Cuts QX at Point P

Arc cuts QX at point P

(e) Join

PQ is Joining

PQ is joining

It is the required right angled triangle .

2. Construct a right triangle whose hypotenuse is long and one the legs is long.

Answer:

To construct: A right angled triangle where

Steps of construction:

(a) Draw a line segment .

A Line Segment EF=4 Cm

A line segment EF=4 cm

(b) At point , draw .

At Point E, Made EX⊥EF

At point E, made EX⊥EF

(c) Taking as centre, draw an arc of radius , draw an arc.(Hypotenuse)

R as Centre an Arc of Radius 6 Cm

R as centre an arc of radius 6 cm

(d) This arc cuts EX at point D.

Arc Cuts EX at Point D

Arc cuts EX at point D

(e) Join

DF is Joining

DF is joining

It is the required right angled triangle .