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Question
Draw a triangle of perimeter 13 𝑐𝑚 and sides in the ratio 3:4:5.
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Solution
Hint:
1. "Draw a line AB of " 13 𝑐𝑚".
2. "Draw a line "𝐴𝑃" of length " 3 + 4 + 5 = 12 𝑐𝑚".
Mark points on 𝐴𝑃 at 3 𝑐𝑚 and 3+4 = 7 𝑐𝑚 from 𝐴.
3. "Join " 𝑃 "and " 𝐵.
4. Draw lines that are parallel to 𝑃𝐵, from points 𝑅 and 𝑄 to 𝐴𝐵.
5. Construct 𝛥𝑀𝑁𝑂 with lengths 𝐴𝑀, 𝑁𝐵 as sides using compass and 𝑀𝑁 as the base.
1. "Draw a line AB of " 13 𝑐𝑚".
2. "Draw a line "𝐴𝑃" of length " 3 + 4 + 5 = 12 𝑐𝑚".
Mark points on 𝐴𝑃 at 3 𝑐𝑚 and 3+4 = 7 𝑐𝑚 from 𝐴.
3. "Join " 𝑃 "and " 𝐵.
4. Draw lines that are parallel to 𝑃𝐵, from points 𝑅 and 𝑄 to 𝐴𝐵.
5. Construct 𝛥𝑀𝑁𝑂 with lengths 𝐴𝑀, 𝑁𝐵 as sides using compass and 𝑀𝑁 as the base.
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