Geometry

Triangles

Medium

The sides of a triangle are in the ratio $\frac{1}{3} : \frac{1}{4} : \frac{1}{5}$ . If the semi-perimeter of the triangle is 47 cm, then what is the length of the longest side?

20 cm

40 cm

44 cm

30 cm

✅ Correct Option: 2

Multiply by LCM 60: ratio becomes $20 : 15 : 12$ . Let sides be $20x, 15x, 12x$ . Semi-perimeter $= (20x+15x+12x)/2 = 47x/2 = 47$ , so $x = 2$ . Longest side $= 20 \times 2 = 40$ cm.

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Solution

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CUET General Test Past Year Questions (Topic-Wise)

The sides of a triangle are in the ratio $\frac{1}{3} : \frac{1}{4} : \frac{1}{5}$ . If the semi-perimeter of the triangle is 47 cm, then what is the length of the longest side?