Construct - ABC with BC - 7-5 cm and - C-60- and AC - 5cm-

To construct: Δ ABC where BC = 7.5 cm, AC = 5 cm and ∠ C = 60^∘. Steps of construction: (a) Draw a line segment BC = 7.5 cm (b) At point C, draw an angle of 60 ...

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Standard VI

Mathematics

Construction of Triangles When Two Sides and the Included Angle Are Given

Construct Δ A...

Question

Construct $Δ A B C$ with BC = 7.5 cm and $∠ C = 60^{\circ}$ , and AC = 5cm.

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Solution

To construct: $Δ$ ABC where BC = 7.5 cm, AC = 5 cm and $∠$ C = $60^{\circ}$ .
Steps of construction:

(a) Draw a line segment BC = 7.5 cm
(b) At point C, draw an angle of $60^{\circ}$ with the help of protractor, i.e., $∠ X C B = 60^{\circ}$
(c) Taking C as center and radius 5 cm, draw an arc, which cuts XC at the point A.
(d) Join AB
It is required triangle ABC.

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Construct ΔABC with BC = 7.5 cm and ∠C=60∘, and AC = 5cm.

Construct $Δ A B C$ with BC = 7.5 cm and $∠ C = 60^{\circ}$ , and AC = 5cm.