Question
(a) Construct a right-angled triangle ABC such that side ¯¯¯¯¯¯¯¯BC=8 cm and hypotenuse ¯¯¯¯¯¯¯¯AC=10 cm.Â
(b) Draw a right-angled triangle at C in which AB = 7 cm and BC = 5 cm. [4 MARKS]
Answer: Option A
:
Each part: 2 Marks
(a) Draw a line segment ¯¯¯¯¯¯¯¯BC=8 cm
Draw ∠CBD=90∘ at B using compass.
With C as centre and radius equal to 10 cm, draw an arc to cut the ray ¯¯¯¯¯¯¯¯¯BD at A and join ¯¯¯¯¯¯¯¯AC.
ABC is the required triangle.
(b) Steps of Construction:
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:
Each part: 2 Marks
(a) Draw a line segment ¯¯¯¯¯¯¯¯BC=8 cm
Draw ∠CBD=90∘ at B using compass.
With C as centre and radius equal to 10 cm, draw an arc to cut the ray ¯¯¯¯¯¯¯¯¯BD at A and join ¯¯¯¯¯¯¯¯AC.
ABC is the required triangle.
(b) Steps of Construction:
(i) Draw BC = 5 cm.
(ii) Construct ∠BCX = 90∘.
(iii) With B as centre and radius 7 cm, cut BA at 7 cm.
(iv) Join AB.
Thus, ABC is the required triangle.
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