The DAV Class 7 Maths Solution and DAV Class 7 Maths Chapter 10 Worksheet 2 Solutions of Construction of Triangles offer comprehensive answers to textbook questions.
DAV Class 7 Maths Ch 10 WS 2 Solutions
Question 1.
Construct a ∆AOB given that OA = 5cm, OB = 4.5 cm and ∠AOB = 50°.
Answer:
Steps of Construction:
- Draw OB = 4.5 cm.
- Draw an angle of 50° at O.
- Cut OA = 5 cm
- Join AB.
- Triangle AOB is the required triangle.
Question 2.
Draw ∆ABC in which ∠A = 120° and AB = AC = 3 cm. Draw the bisector of angle A.
Answer:
Steps of Construction:
- Draw AB = 3 cm.
- Draw an angle of 120° at A.
- Cut AC = 3 cm.
- Join CB.
- Draw AY as the bisector of ∠A.
- ∆ABC is the required triangle.
Question 3.
Construct a ∆ABC in which ∠B = 90° and AB = 4 cm and BC = 3 cm.
Answer:
Steps of Construction:
- Draw BC = 3 cm.
- Draw an angle of 90° at B.
- Cut BA = 4 cm.
- Join AC.
- ∆ABC is the required triangle.
Question 4.
Draw a triangle PQR in which QR = 4 cm, PQ = 3 cm and ∠Q = 45°.
Answer:
Steps of Constructions:
- Draw PQ = 3 cm.
- Draw an angle of 45° at Q.
- Cut QR = 4 cm.
- Join PR.
- ∆PQR is the required triangle.
Question 5.
Construct a triangle PQR in which PR = 5.6 cm, QR = 3 cm and ∠R = 50°.
Solution:
Steps of Construction:
- Draw QR = 3cm.
- Draw an angle of 50° at R.
- Cut RP = 5.6 cm Join PQ.
- ∆PQR is the required triangle.