Question

the side of triangle are in the ratio 2 4 5 and it's perimeter 330cm finds its area​

Answer 1

Answer:

Let the sides of the triangle be in the ratio 2x:4x:5x

Therefore, Sum of three sides = Perimeter

2x+4x+5x = 330cm

11x. = 330cm

X. = 330/11 cm

= 30 cm

First side = 2x = 2×30 = 60cm

Second side = 4x = 4×30 = 120cm

Third side = 5x = 5×30 = 150cm

Then, obtain the area of the triangle by Heron's formula i.e., s = a + b + c / 2

Step-by-step explanation:

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Answer 2

▂ ▄ ▅ ▆ ▇ █ SOLUTION █ ▇ ▆ ▅ ▄ ▂

✼GIVEN✼

• The side of triangle in ratio=2:4:5
• Perimeter of triangle=330cm

✼LET

• The side of triangle be X
• Side 1=2x
• Side 2=4x
• Side 3=5x

✼According to the above information✼

✼Sum of sides=perimeter of triangle✼

$⟹2x + 4x + 5x = 330 \\ \\ ⟹11x = 330 \\ \\ ⟹x = 30$

⟹SIDE OF TRIANGLE

• SIDE 1=60
• SIDE 2=120
• SIDE 3= 150

⟹HERE, USING FORMULA OF SEMI PERIMETER

⟹A+B+C/2

⟹60+120+150/2

⟹330/2

⟹165

⟹HERE, A=60 ,B=120 ,C=150

• AGAIN USING HERON'S FORMULA

⟹AREA OF TRIANGLE⟹

$⟹area = \sqrt{s(s - a)(s - b)(s - c)} \\ \\ ⟹area = \sqrt{165(165 - 60)(165 - 120)(165 - 150)} \\ \\ ⟹area = \sqrt{165 \times 105 \times 45 \times 15} \\ \\ ⟹area = \sqrt{11694375} = 3419.70 {cm}^{2}$