*Q1 :*

*Construct Δ PQR in which PQ = 4.5 cm , QR = 5 cm and RP = 6cm.*

**Solution:**

Construct:

Construction:

(i) Draw a line segment QR = 5 cm.

(ii) Taking R as center and radius 6cm, draw arc.

(iii) Similarly, taking Q as center and radius 4.5 cm draw another arc which intersects the first arc at point P

(iv) Join PR and PR

It is the required

* *

*Q2:*

*Construct an equilateral triangle of side 5.5 cm*

**Solution:**

To construct: A

Construction :

(i) Draw a line segment BC = 5.5 cm

(ii) Taking points Q and R as centers and radius 5.5 cm , draw arcs which intersect at point P.

(iii) Join PQ and PR

It is the required

* *

*Q3:*

*Draw Δ ABC with AB = 4cm, BC = 3.5 and AC = 4cm. What type of triangle is this? *

**Solution:**

To construct:

Construction:

(i) draw a line segment BC = 3.5 cm

(ii) Taking B as center and radius 4 cm, draw an arc.

(iii) Similarly, taking C as center and radius 4 cm, draw another arc which intersects first arc at A.

(iv) Join AB and AC.

It is the required isosceles

* Q4: *

*Construct Δ PQR such that PQ = 2.5 cm , QR = 6 cm and PR = 6.5 cm. Measure ∠ Q*

**Solution:**

To Construct:

Construction :

(i) Draw a line segment QR = 6cm

(ii) Taking B as center and radius 2.5 cm, draw an arc.

(iii) Similarly, taking C as center and radius 6.5 cm , draw another arc which intersects first arc at point P

(iv) Join PQ and PR

(v) Measure angle Q with the help of protractor

It is the required ^{o}