NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry Ex 10.2, are part of NCERT Solutions for Class 7 Maths. Here we have given NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry Ex 10.2.
NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry Ex 10.2
Question 1.
Construct A XYZ in which XY = 4.5 cm, YZ = 5 cm and, ZX = 6 cm.
Solution:
Steps of Construction
- Draw a line segment YZ of length 5 cm.
- With Y as centre, draw an arc of radius 4.5 cm.
- With Z as centre, draw an arc of radius 6 cm,
- Mark the point of intersection of arcs as X.
- Join XY and XZ. ∆ XYZ is now ready.
Question 2.
Construct an equilateral triangle of side 5.5 cm.
Solution:
Steps of Construction
- Draw a line segment BC of length 5.5 cm.
- With B as centre, draw an arc of radius 5.5 cm.
- With C as centre, draw an arc of radius 5.5 cm.
- Mark the point of intersection of arcs as A.
- Join AB and AC. Equilateral ∆ ABC is now ready.
Question 3.
Draw ∆ PQR with PQ = 4 cm, QR =3.5 cm and PR = 4 cm. What type of triangle is this?
Solution:
Steps of Construction
- Draw a line segment QR of length 3.5 cm.
- With Q as centre, draw an arc of radius 4 cm.
- With R as centre, draw an arc of radius 4 cm.
- Mark the point of intersection of arcs as P.
- Join PQ and PR.
∆ PQR is now ready,
∵ PQ = PR
∴ ∆ PQR is isosceles.
Question 4.
Construct ∆ ABC such that AB = 2.5 cm, BC = 6 cm and AC = 6.5 cm. Measure ∠B.
Solution:
Steps of Construction
- Draw a line segment BC of length 6 cm.
- With B as centre, draw an arc of radius 2.5 cm.
- With C as centre, draw an arc of radius 6.5 cm.
- Mark the point of intersection of arcs as A.
- Join AB and AC.
∆ ABC is now ready.
On measurement, ∠B = 90°.
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