AP Board 7th Class Maths Solutions Chapter 10 Construction of Triangles Unit Exercise

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

AP State Syllabus 7th Class Maths Solutions 10th Lesson Construction of Triangles Unit Exercise

Construct triangles for the following :

Question 1.
Construct ∆PQR with measurements PQ = 5.8 cm, QR = 6.5 cm and PR = 4.5 cm.
Answer:
Given measurements of ∆PQR are PQ = 5.8 cm, QR = 6.5 cm and PR = 4.5 cm
AP Board 7th Class Maths Solutions Chapter 10 Construction of Triangles Unit Exercise 1

Steps of Construction:

  1. Draw a rough sketch of triangle arid label it with given measurements.
  2. Draw a line segment with PQ = 5.8 cm.,
  3. Draw ati arc with centre P and radius 4.5 cm.
  4. Draw another arc with centre Q and radius 6.5 cm. to intersect the previous arc at R.
  5. Join PR and QR.
    Thus, required ∆PQR is constructed with the given measurements.

AP Board 7th Class Maths Solutions Chapter 10 Construction of Triangles Unit Exercise

Question 2.
Construct an isosceles triangle LMN with measurements LM = LN = 6.5 cm and MN=8cm.
Answer:
Given measurements of ∆LMN are LM = LN = 6.5 cm and MN = 8 cm.
AP Board 7th Class Maths Solutions Chapter 10 Construction of Triangles Unit Exercise 2

Steps of Construction :

  1. Draw a rough sketch of triangle and label it with given measurements.
  2. Draw a line segment with MN = 8 cm.
  3. Draw an arc with centre M and radius 6.5 cm.
  4. Draw another arc with centre N and same radius (6.5 cm) to intersect the previous are at L
  5. Join ML and NL.
    Hence, required ∆LMN is constructed with the given measurements.

Question 3.
Construct ∆ABC with measurements ∠A = 60°, ∠B = 706 and AB = 7 cm.
Answer:
Given measurements of ∆ABC are ∠A = 60°, ∠B = 70° and AB = 7 cm.
AP Board 7th Class Maths Solutions Chapter 10 Construction of Triangles Unit Exercise 3
Steps of Construction :

  1. Draw a rough sketch of triangle and label it with given measurements.
  2. Draw a line segment AB = 7 cm.
  3. Draw a ray AX such that ∠BAX = 60°.
  4. Draw another ray BY such that ∠ABY = 70°.
  5. Name the intersecting point of AX and BY as C.
    Hence, required ∆ABC is constructed with the given measurements.

Question 4.
Construct a right angled triangle XYZ in which ∠Y = 90°, XY = 5 cm and YZ = 7 cm.
Answer:
Given measurements of ∆XYZ are ∠Y = 90°, XY = 5 cm and YZ = 7 Cm.
AP Board 7th Class Maths Solutions Chapter 10 Construction of Triangles Unit Exercise 4

Steps of Construction:

  1. Draw a rough sketch of triangle and label it with given measurements.
  2. Draw a line segment with XY = 5 cm.
  3. Draw a ray YP such that ∠XYP = 90°
  4. Draw an arc with centre Y and radius 7 cm to intersect YP at point Z.
  5. Join XZ.
    Hence, required ∆XYZ is constructed with the given measurements.

AP Board 7th Class Maths Solutions Chapter 10 Construction of Triangles Unit Exercise

Question 5.
Construct an equilateral triangle DEF in which DE = EF = FD = 5 cm.
Answer:
Given measurements of ∆DEF are DE = EF = FD = 5 cm.
AP Board 7th Class Maths Solutions Chapter 10 Construction of Triangles Unit Exercise 5

Steps of Construction:

  1. Draw a rough sketch of the triangle and label it with the given measurements.
  2. Draw a line segment DE of length 5 cm.
  3. Draw an arc with centre D and radius 5 cm.
  4. Draw another arc with centre E and same radius (5 cm) to intersect the previous arc at F.
  5. Join DF and EF.
    Thus, required triangle ∆DEF is constructed with the given measurements.

Question 6.
Construct a triangle with non-included angle for the sides of ST and SU of lengths 6 v and 7 cm. respectively and ∠T = 80°.
Answer:
Given measurements of ∆STU are ST = 6 cm, SU = 7 cm and ∠T = 80°.
AP Board 7th Class Maths Solutions Chapter 10 Construction of Triangles Unit Exercise 6

Steps of Construction:

  1. Draw a rough sketch of triangle and label it with given measurements.
  2. Draw a line segment with ST = 6 cm.
  3. Draw a ray TX such that ∠STX = 80°.
  4. Draw an arc with centre S and radius 7 cm to intersect TX at point U.
  5. Join SU.
    Hence, required triangle ∆STU is constructed with the given measurements.

AP Board 7th Class Maths Solutions Chapter 10 Construction of Triangles Unit Exercise

Question 7.
Can you construct ∆DEF with DE = 7 cm, EF = 14 cm and FD = 5 cm. ? If not give reasons. .
Answer:
No, we can’t construct the triangle. Because the given sides of ∆DEF are DE = 7 cm, EF = 14 cm, FD = 5 cm.
In any triangle sum of any. two sides is always greater than the third side.
DE + FD = 7 + 5 = 12 cm < 14 cm
Sum of DE + FD < EF.
So, with the given measurements construction of ADEF is not possible.