NCERT Class 7 Mathematics Solutions: Chapter 10 –Practical Geometry Exercise 10.4 Part 1

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1. Construct , given

Answer:

To construct: where , and .

Steps of construction:

(a) Draw a line segment .

A Line Segment AB = 5.8 Cm

A line segment AB = 5.8 cm

(b) At point , draw an angle with the help of compass.

At Point a Made Angle YAB= 60 Degree

At point A made angle YAB= 60 degree

(c) At point , draw an angle with the help of compass.

At Point a Made Angle XBA= 30 Degree

At point A made angle XBA= 30 degree

(d) and intersect at the point .

AY and BX Intersect at the Point C

AY and BX intersect at the point C

It is the required triangle .

2. Construct if

Answer:

We know that sum of angles of a triangle is

To construct: where , and .

Steps of construction:

(a) Draw a line segment .

A Line Segment PQ=5 Cm

A line segment PQ= 5 cm

(b) At point , draw an angle with the help of compass.

At Point a Made Angle XPQ=35 Degree

At point A made angle XPQ=35 degree

(c) At point , draw an angle with the help of compass.

At Point a Made Angle YQP=105 Degree

At point A made angle YQP=105 degree

(d) and intersect at the point .

XP and YQ Intersect at the Point R

XP and YQ intersect at the point R