Question

sides of triangle are in the ratio of 12: 17:25 and its perimeter is 540 cm. find its area.​

Answer 1

Hey Mate Here is your answer
side of triangle=12x,17x,25x
perimeter of triangle is = sum of all sides
12x+17x+25x=540
54x=540
x= 10

side of triangle=
12x = 12*10 = 120
17x = 17*10 = 170
25x = 25*10 = 250

please mark as brainlaist..

Answer 2

Answer:

9000 cm²

Step-by-step explanation:

⇒ Let the sides be 12x, 17x and 25x.

⇒ Perimeter

• 12x + 17x + 25x = 540
• 54x = 540
• x = 10
• 12x = 120 cm
• 17x = 170 cm
• 25 = 250 cm

⇒ According to Heron's formula,

• a = 120 cm
• b = 170 cm
• c = 250 cm
• s = Perimeter / 2 = 540 / 2 = 270 cm
• s - a = 270 - 120 = 150 cm
• s - b = 270 - 170 = 100 cm
• s - c = 270 - 250 = 20 cm

$\bullet\ \sqrt{s(s-a)(s-b)(s-c)} \\ \\ \bullet\ \sqrt{270 \times 150 \times 100 \times 20} \\ \\ \bullet\ \sqrt{10 \times 3 \times 3 \times 3 \times 10 \times 3 \times 5 \times 10 \times 10 \times 5 \times 2 \times 2} \\ \\ \bullet\ 10 \times 10 \times 3 \times 3 \times 5 \times 2 \\ \\ \bullet\ \bold{9000\ cm^2}$

⇒ Thus the answer is 9000 cm².