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प्रश्न
Construct a ∆ ABC such that AB = 6 cm, BC = 5.6 cm and CA = 6.5 cm. Inscribe a circle to this triangle and measure its radius.
उत्तर
Steps of Construction :
(i) Draw a line segment AB = 6 cm.
(ii) With centre A and radius 6.5 cm and with centre B and radius 5.6 cm, draw arcs intersecting each other at C.
(iii) Join AC and BC.
(iv) Draw the angle bisector of ∠A and ∠B intersecting each other at I.
(v) From I, draw IL ⊥ AB
(vi) With centre I and radius IL, draw a circle which touches the sides of Δ ABC internally.
On measuring the required incircle whose radius is 1.6 cm.
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संबंधित प्रश्न
Construct a ∆ABC such that:
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Construct a ∆ PQR such that :
PQ = 6 cm, ∠Q = 60° and ∠P = 45°. Measure ∠R.
Construct an isosceles ∆ ABC such that:
One of the equal sides = 6 cm and vertex angle = 45°. Measure the base angles.
Construct an isosceles ∆ ABC such that:
BC = AB = 5.8 cm and ZB = 30°. Measure ∠A and ∠C.
Construct a ∆ ABC such that AB = 6 cm, BC = 4.5 cm and AC = 5.5 cm. Construct a circumcircle of this triangle.
Construct an isosceles ∆ PQR such that PQ = PR = 6.5 cm and ∠PQR = 75°. Using a ruler and compasses only constructs a circumcircle to this triangle.
Construct an isosceles ∆ MNP such that base MN = 5.8 cm, base angle MNP = 30°. Construct an incircle to this triangle and measure its radius.
Construct a ∆ PQR such that PQ = 6 cm, ∠QPR = 45° and angle PQR = 60°. Locate its incentre and then draw its incircle.
