Question

the perimeter of a triangle is 180 cm and its sides are in the ratio 2:3:5. find the area of the triangle

Answer 1

2x+3x+5x=180
10x=180
x=180/10
x=18

therefore, sides will be 2x=2×18=36, 3x=3×18=54 and 5x=5×18=90

Answer 2

Given:

• Ratio of the sides of a triangle 2:3:5.
• Perimeter of the triangle is 180 cm.

To find:

• Area of the triangle?

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Solution:

☯ Let the three sides of the triangle be 2x, 3x and 5x.

$\underline{\bigstar\:\boldsymbol{According\:to\:the\:question\::}}$

$:\implies\sf 2x + 3x + 5x = 180$

$:\implies\sf 10x = 180$

$:\implies\sf x = \cancel{\dfrac{180}{10}}$

$:\implies{\boxed{\frak{\pink{x=18}}}}\;\bigstar$

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The three sides of the triangle are :

• 2x = 2 × 18 = 36
• 3x = 3 × 18 = 54
• 5x = 5 × 18 = 90

$\therefore\;{\underline{\sf{The \:three\:sides\:of\:the\:triangle\;are\; \bf{36,\:54,\;\sf{and}\;\bf{90}\:}.}}}$⠀