Question

The length of the side of atriangle are in the ratio 3:4:5and it's perimeter is 144cm find all the sides​

Answer 1

$\boxed{\large{\sf{Correct\:question-:}}}$

$\sf{The \:length \:of \:the\: side\: of \: a\:triangle\: are}\\{\sf{ in \:the \:ratio\: 3:4:5\:and\: it's }}\\{\sf{perimeter\: is \:144cm \:find \:all\: the\: sides.}}$

$\boxed{\large{\sf{Answer-:}}}$

$\large{\sf{Explanation:}}$

$\large{\sf{Given,}}$

$\sf{\Rightarrow {The \:length \:of \:the\: side\: of \: a\:triangle\: are}}\\{\sf{ in \:the \:ratio\: 3:4:5. }}\\{\sf{\Rightarrow {The\:perimeter\: is \:144cm}}$

$\large{\sf{To\Find,}}$

[tex]\sf{ \Rightarrow {Length \:of \:all\: the\: sides.}}[/tex

Answer 2

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Given:

Length of side of a triangle are in the ratio 3:4:5 and it's perimeter is 144 cm

To find:

Length of sides = ?

Explanation:

Let,

Length of side 1 = 3x

Length of side 2 = 4x

Length of side 3 = 5x

$\\ \\ Perimeter \: of \: triangle \: = sum \: \\ of \: all \: sides \\ \\ 144 = 3x + 4x + 5x \\ \\ 144 = 12x \\ \\ \dfrac{144}{12} = x$

$\\ \\ x = 12 \: cm \\ \\ side \: 1 = 3x = 3 \times 12 = 36 \: cm \\ \\ side \: 2 = 4x = 4 \times 12 = 48 \: cm \\ \\ side \: 3 = 5x = 5 \times 12 = 60 \: cm$

Answer:

Thus, Length of all sides are 36 cm, 48 cm, 60cm

Knowledge booster:

• In triangle, perimeter = sum of length of side a+b+c
• Area of triangle = 1/2 × base × height
• Solve more such questions to get good hold on it