Question

what is perimeter
perimeter of a triangle is 35 cm. if lengths of its sides are in the ratio 2:2:3 ,find the length of the three sides​

Answer 1

Given:

• Perimeter of triangle = 35 cm
• Ratio of length of sides of triangle is 2:2:3.

To find:

• Length of three sides?

Solution:

Ratio of sides of triangle = 2:2:3

So, Let's sides of triangle be 2x, 2x and 3x.

According to the given Question:

• Perimeter of triangle = 35 cm

We know that,

★ Perimeter of triangle = sum of its all sides

Therefore,

⇒ 2x + 2x + 3x = 35

⇒ 7x = 35

⇒ x = 35/7

⇒ x = 5

━━━━━━━━━━━━━━━━━━━━━━━━━━

Therefore,

• First side, 2x = 2 × 5 = 10 cm

• Second side, 2x = 2 × 5 = 10 cm

• Third side, 3x = 3 × 5 = 15 cm

∴ Hence, Sides of given triangle are 10 cm, 10 cm and 15 cm.

Answer 2

Answer:

$\huge {\bf {\red {\underline {given}}}}$

$\small \blue {perimeter \: of \: triangle \: = 35 \: cm}$

$\small \green{ratio \: of \: length \: = 2 \ratio \: 2 \ratio \: 3}$

$\huge {\bf {\red {\underline {to \: find}}}}$

$\small \pink {length \: of \: three \: side}$

$\huge {\bf {\red {\underline {solution}}}}$

$\small \bf \: as \: we \: know \: that$

$\small \sf \: perimeter \: = length \: of \: all \: sides$

$\small \mathtt {35 = 2 \ratio 2 \ratio \: 3}$

$\small \green {let \: the \: side \: be \: x}$

$\small \mathfrak {sum \: of \: ratio \: = 2 \ratio 2 \ratio 3 = 7x}$

$\small \bf \: 35 =7x$

$\small \sf \: x = \frac{35}{7} = 5$

$\small \mathtt {2x = 2 \times 5 = 10}$

$\small \mathfrak {2x = 2 \times 5 = 10}$

$\small \bf \: 3x = 3 \times 5 = 15$

$\small \purple {sides \: are \: = 10 \: \: 10 \: and \: 15}$

$\huge \bf Verification$

$\small \mathtt {10 + 10 + 15 = 35}$

$\small \bf 35 = 35$

$\huge \bf {LHS = RHS}$