Construct - ABC- given - A - 60- - B - 30- and AB - 5-8 cm-

Solution: To construct: Δ ABC, given ∠ A = 60^∘, ∠ B = 30^∘ and AB = 5.8 cm. Steps of construction: [1 mark] (a) Draw a line segment AB = 5.8 cm. nbsp; nb ...

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Standard VII

Mathematics

Constructing a Triangle when Three Sides are Given

Construct Δ A...

Question

Construct $Δ$ ABC, given $∠ A = 60^{\circ}, ∠ B = 30^{\circ}$ and AB = 5.8 cm.

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Solution

To construct: $Δ$ ABC, given $∠ A = 60^{\circ}, ∠ B = 30^{\circ}$ and AB = 5.8 cm.
Steps of construction:
(1 mark)

(a) Draw a line segment AB = 5.8 cm. (0.5 mark)
(b) At point A, draw an $∠ Y A B = 60^{\circ}$ with the help of compass. (1 mark)
(c) At point B, draw $∠ X B A = 30^{\circ}$ with the help of compass. (1 mark)
(d) AY and BX intersect at the point C.
It is the required triangle ABC. (0.5 mark)

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Construct Δ ABC, given ∠A=60∘, ∠B=30∘ and AB = 5.8 cm.

Construct $Δ$ ABC, given $∠ A = 60^{\circ}, ∠ B = 30^{\circ}$ and AB = 5.8 cm.