Question

triangle is 216 cm and its sides are in the ratio 3 : 4:5. Find the perimeter
Find the
20. The area of a
of the triangle.​

Answer 1

Answer:

$</p><p>Join / Login</p><p></p><p></p><p></p><p>What would you like to ask?</p><p></p><p>Maths</p><p></p><p>The area of a triangle is 216cm2 and its sides are in the ratio 3 : 4 : 5 The perimeter of the triangle is</p><p></p><p>A</p><p></p><p>6 cm</p><p></p><p>B</p><p></p><p>12 cm</p><p></p><p>C</p><p></p><p>36 cm</p><p></p><p>D</p><p></p><p>72 cm</p><p></p><p>Answer</p><p></p><p>Let the sides of the triangle be 3xcm,4xcm and 5x cm Then </p><p>s=23x+4x+5x=212x=6x</p><p>∴  Area of  Δ=s(s−a)(s−b)(s−c)</p><p>=6x(6x−3)(6x−4x)(6x−5x)</p><p>=6x×3x×2x×x=6x2</p><p>Given 6x2=216⇒x2=6216=36⇒x=6</p><p>∴ The sides of the triangle are (3×6)cm,(4×6) cm and (5×6) cm i.e 18 cm,24 cm and 30 cm</p><p>Perimeter of the Δ =18cm+24cm+30cm</p><p>= 72 cm</p><p></p><p>$

Answer 2

Answer:

find x and then find the area using Heron's formula

Step-by-step explanation:

3x+4x+5x=216

12x=216

x=18

substitute the value of x in 3x,4x,5x, and you'll get the value of the sides

using the perimeter find the semi-perimeter and use Heron's formula

I hope I could help you