SCERT AP 7th Class Maths Solutions Pdf Chapter 10 Construction of Triangles Ex 10.3 Textbook Exercise Questions and Answers.

## AP State Syllabus 7th Class Maths Solutions 10th Lesson Construction of Triangles Ex 10.3

Question 1.

Construct ∆DEF with measurements ∠D = 60°, ∠F = 50° and DF = 4 cm.

Answer:

Given measurements of ∆DEF are ∠D = 60°, ∠F = 50° and DF = 4 cm.

Steps of Construction :

- Draw a rough sketch of triangle and label it with given measurements.
- Draw a line segment with DF = 4 cm.
- Draw a ray DX such that ∠FDX = 60°.
- Draw another ray FY such that ∠DFY = 50° which intersects the previous ray at E. Thus, required ∆DEF is constructed with the given measurements.

Question 2.

Construct the triangle with the measurements XY = 7.2 cm, ∠Y = 30° and ∠Z = 100°.

Answer:

Given measurements of ∆XYZ are XY = 7.2 cm, ∠Y = 30° and ∠Z = 100°.

We know stun of angles of triangle is 180°

So, ∠X + ∠Y + ∠Z = 180°

⇒ ∠X + 30° + 100° = 180°

⇒ ∠X= 180°-130°

∴ ∠X = 50°

Steps of Construction:

- Draw a rough sketch of triangle and label it with given measurements.
- Draw a line segment with XY = 7.2 cm.
- Draw a ray \(\overrightarrow{\mathrm{XP}}\) such that ∠YXP = 50°
- Draw another ray \(\overrightarrow{\mathrm{YQ}}\) such that ∠XYQ = 30° which intersects the previous ray at Z. Thus, required ∆XYZ is constructed with the given measurements.

Question 3.

Construct ∆PQR with the measurements ∠P = ∠Q = 60° and PQ = 7 cm.

Answer:

Given measurements of ∆PQR are ∠P = ∠Q = 60° and PQ = 7 cm.

Steps of Construction:

- Draw a rough sketch of the triangle and label it with given measurements.
- Draw a line segment with PQ = 7 cm.
- Draw a ray PX such that ∠QPX — 60°
- Draw another ray QY such that ∠PQY = 60° which intersects the previous ray at R. Thus, required ∆PQR is constructed with the given measurements.