SCERT AP 7th Class Maths Solutions Pdf Chapter 10 Construction of Triangles Ex 10.2 Textbook Exercise Questions and Answers.

## AP State Syllabus 7th Class Maths Solutions 10th Lesson Construction of Triangles Ex 10.2

Question 1.

Construct ∆ABC with measurements AB = 4.5 cm, BC = 6 cm and ∠B=75°

Answer:

Given measurements of ∆ABC are AB = 4.5 cm, BC = 6 cm and ∠B = 75°.

Steps of Construction :

- Draw a rough sketch of triangle and label it with given measurements.
- Draw a line segment with BC = 6 cm.
- Draw a ray \(\overrightarrow{\mathrm{BX}}\) such that ∠CBX = 15°.
- Draw an arc with centre B and radius 4.5 cm, to intersect \(\overrightarrow{\mathrm{BX}}\) at point A.

Thus, required ∆ABC is constructed with the given measurements.

Question 2.

Construct an isosceles triangle with measurements DE = 7 cm, EF = 7 cm and ∠E = 60°

Answer:

Given measurements of ∆DEF are DE = 7 cm, EF = 7 cm and ∠E = 60°.

Steps of Construction:

- Draw a rough sketch of triangle and label it with given measurements.
- Draw a line segment with DE = 7 cm.
- Draw a ray \(\overrightarrow{\mathrm{EX}}\) such that ∠DEX = 60°.
- Draw an arc with centre E and radius 7 cm to intersect \(\overrightarrow{\mathrm{EX}}\) at point F.
- Join DF.

Hence, required ∆DEF is constructed with the given measurements.

Question 3.

Draw a triangle with,measurements ∠B = 50°, AB = 3 cm and AC = 4 cm.

Answer:

Given measurements of a triangle are ∠B = 50°, AB = 3 cm and AC = 4cm..

Steps of Construction:

- Draw a rough sketch of triangle and label it with given measurements.
- Draw a line segment with AB = 3 cm.
- Draw a ray \(\overrightarrow{\mathrm{BX}}\) such that ∠ABX = 50°.
- Draw an arc with centre A and radius 4 cm to intersect \(\overrightarrow{\mathrm{BX}}\) at point C.
- Join AC.

Hence, required ∆ABC is constructed with the given measurements.

Question 4.

Construct a right angled triangle in which, XY = 5 cm, XZ = 6 cm and right tingle at X.

Answer:

Given measurements of ∆XYZ are XY = 5 cm, XZ = 6 cm and ZX = 90° (∠YXZ = 90°)

Steps of Construction:

- Draw a rough sketch of triangle arid label it with given measurements.
- Draw a line segment with XY = 5 cm.
- Draw a ray \(\overrightarrow{\mathrm{XP}}\) such that ∠YXP = 90°.
- Draw an arc with centre X and radius 6 cm to intersect XP at point Z.
- Join YZ.

Hence, required triangle ∆XYZ is constructed with the given measurements.

Question 5.

Construct a right angled with measurements ABC, ∠B = 90°, AB = 8 cm and AC = 10 cm.

Answer:

Given measurements of ∆ABC are ∠B = 90°, AB = 8 cm and AC = 10 cm.

Steps of Construction :

- Draw a rough sketch of triangle and label it with given measurements.
- Draw a line segment with AB = 8 cm.
- Draw a ray \(\overrightarrow{\mathrm{BX}}\) such that ∠ABX = 90°.
- Draw an arc with centre A and radius 10 cm to intersect \(\overrightarrow{\mathrm{BX}}\) at point C.
- Join AC.

Thus, the required ∆ABC is constructed with the given measurements.