NCERT Solutions class 7 Maths Chapter-10 Exercise 10.3

NCERT Solutions Class-7 Maths chapter-10 line and angle Exercise-10.3 is prepared by academic team of pw all the questions of NCERT text book are solved step by step with proper and detail solutions explaining each and every questions . For More and additional questions of CBSE class 7 maths you can go to class 7 maths sections. NCERT class 7 Maths Solutions is the best way to enhanced your mathematics skill. And pw practice worksheet & question bank will help you a lot . 

NCERT Solutions class 7 Maths Chapter-10 line and angle

line and angle properties Exercise-10.3

Solutions of Chapter line and angle Exercise-10.3

Question 1:
Construct DEF such that DE = 5 cm, DF = 3 cm and m∠EDF = 90°.
Answer:
The rough sketch of the required ?DEF is as follows.

NCERT solution for class 7 maths line and angle Exercise 10.3
The steps of construction are as follows.
(i)Draw a line segment DE of length 5 cm.
NCERT solution for class 7 maths line and angle Exercise 10.3

(ii) At point D, draw a ray DX making an angle of 90° with DE.
NCERT solution for class 7 maths line and angle Exercise 10.3

(iii) Taking D as centre, draw an arc of 3 cm radius. It will intersect DX at point F.
NCERT solution for class 7 maths line and angle Exercise 10.3

(iv) Join F to E. ?DEF is the required triangle.
NCERT solution for class 7 maths line and angle Exercise 10.3/8309/8031935579_18f8b89bdd_o.jpg

Question 2:
Construct an isosceles triangle in which the lengths of each of its equal sides is 6.5 cm and the angle between them is 110°.
Answer:
An isosceles triangle PQR has to be constructed with PQ = QR = 6.5 cm. A rough sketch of the required triangle can be drawn as follows.

NCERT solution for class 7 maths line and angle Exercise 10.3/8036/8031935601_5fbdb86958_o.jpg

The steps of construction are as follows.
(i) Draw the line segment QR of length 6.5 cm.

NCERT solution for class 7 maths line and angle Exercise 10.3/8032/8031933050_baf3e85849_o.jpg

(ii) At point Q, draw a ray QX making an angle 110° with QR.
NCERT solution for class 7 maths line and angle Exercise 10.3/8456/8031933068_76b8dd4191_o.jpg

(iii) Taking Q as centre, draw an arc of 6.5 cm radius. It intersects QX at point P.
NCERT solution for class 7 maths line and angle Exercise 10.3/8321/8031933088_5f2dc47cce_o.jpg

(iv) Join P to R to obtain the required triangle PQR.

NCERT solution for class 7 maths line and angle Exercise 10.3/8042/8031935727_0eb9d6db20_o.jpg
Question 3:
Construct ?ABC with BC = 7.5 cm, AC = 5 cm and m∠C = 60°.
Answer:
A rough sketch of the required triangle is as follows.

NCERT solution for class 7 maths line and angle Exercise 10.3/8170/8031933132_1634f0d19f_o.jpg
The steps of construction are as follows.
(i) Draw a line segment BC of length 7.5 cm.

NCERT solution for class 7 maths line and angle Exercise 10.3/8313/8031935787_ef57653802_o.jpg
(ii) At point C, draw a ray CX making 60º with BC.
NCERT solution for class 7 maths line and angle Exercise 10.3/8317/8031935805_f1e669e4ca_o.jpg

(iii) Taking C as centre, draw an arc of 5 cm radius. It intersects CX at point A.

NCERT solution for class 7 maths line and angle Exercise 10.3/8040/8031933226_3567cdc6b2_o.jpg
(iv) Join A to B to obtain triangle ABC.
NCERT solution for class 7 maths line and angle Exercise 10.3/8035/8031935853_1ca3b37623_o.jpg

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