Question

A triangle, whose perimeter is 600cm, has sides in the ratio 4:56. Find its area​

Answer 1

Step-by-step explanation:

$\bf \bold\red{ratio \: of \: sides =4:5:6} \\ \bf \bold\blue{perimetre = s + s + s} \\ \bf \bold\orange{so} \\ \bf \bold\purple{4x + 5x + 6x = 15x} \\ \bf \bold\orange{also} \\ \bf \bold\purple{15x = 600cm} \\ \bf \bold\orange{solving} \\ \bf \bold\purple{15x = 600} \\ \bf \bold\purple{x = \dfrac{600}{15}} \\ \bf \bold\purple{x = \cancel\dfrac{600^{40} }{15^{1} }} \\ \\ \bf \bold\green{x = 40} \\ \bf \bold\orange{finding \: other \: values} \\ \bf \bold\purple{4x = 4 \times 40 = 160} \\ \bf \bold\purple{5 \times 40 = 200} \\ \bf \bold\purple{6 \times 40 = 240} \\ \bf \bold\orange{ fomulae \: of \: area= } \\ \bf \bold\pink{\frac{1} {2}\times base\times height } \\ \bf\bold\orange{putting \: value :} \\\bf\bold\purple\ \purple{ \frac{1}{2} \times 16 \times 20 = 160cm}$