(a) For any triangle ABC, draw: [4 MARKS](i) All possible medians.(ii) All possi

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(a) For any triangle ABC, draw: [4 MARKS]
(i) All possible medians.
(ii) All possible altitudes.
(b) Find the unknown angles x and y.

(a) For Any Triangle ABC, Draw: [4 MARKS](i) All Possible Me...

Answer:
:
(a) Each sub-part: 1 Mark
(b) Each angle: 1 Mark
(a)
(i)

(a) For Any Triangle ABC, Draw: [4 MARKS](i) All Possible Me...

(ii)

(a) For Any Triangle ABC, Draw: [4 MARKS](i) All Possible Me...

(b)

(a) For Any Triangle ABC, Draw: [4 MARKS](i) All Possible Me...

∠ B A C = 92^{\circ}

∠ A C B = x^{\circ}

(Equal sides have equal angles opposite to them.)

∠ A C B + ∠ A B C + 92^{\circ} = 180^{\circ}

2 x + 92^{\circ} = 180^{\circ}

x + 46^{\circ} = 90^{\circ}

x = 90^{\circ} - 46^{\circ}

x = 44^{\circ}

∠ A C B + y = 180^{\circ} \Rightarrow x + y = 180^{\circ}

\Rightarrow 44^{\circ} + y = 180^{\circ}

\Rightarrow y = 180^{\circ} - 44^{\circ}

\Rightarrow y = 136^{\circ}

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