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Question

(a) For constructing a triangle, we must know two sides and included angle. Which triangle can be uniquely constructed by knowing two sides and any other angle?
(b) Which of the following congruency conditions is preferred to draw a triangle exactly congruent to a right-angled triangle? [2 MARKS]

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Solution

Each part: 1 Mark

(a) We only need to know R (Right angle), H (Hypotenuse) and S (Side) to construct a right-angled triangle. The right angle is not included between the hypotenuse and the other side.

(b) If the hypotenuse and any one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.

It means that if we have two right-angled triangles with the same length of the hypotenuse and the same length for one of the other two legs, then both right triangles are identical.


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