Question

15. The sides of a triangle are in the ratio 1/4:1/5:1/3 and its perimeter is 141 cm. Find the length ol each side.
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Answer 1

Answer:

36 cm, 45 cm, 60 cm

Step-by-step explanation:

$\frac{1}{4}$ x + $\frac{1}{5}$ x + $\frac{1}{3}$ x = 141

($\frac{1}{4}$ + $\frac{1}{5}$ + $\frac{1}{3}$)x = 141

$\frac{1}{4}$ + $\frac{1}{5}$ + $\frac{1}{3}$ = $\frac{15+12+20}{60}$ = $\frac{47}{60}$

$\frac{47}{60}$ x = 141

x = 141 ÷ $\frac{47}{60}$ = 141 × $\frac{60}{47}$ = 180

180 × $\frac{1}{4}$ = 45 cm

180 × $\frac{1}{5}$ = 36 cm

180 × $\frac{1}{3}$ = 60 cm

(60 + 45 + 36) cm = 141 cm