Question

Ratio of three sides of a triangles is 2:5:7. The perimeter of the triangles is 98cm. Find the sides of the triangle​

Answer 1

Answer:

$\quad\bullet\:\small\boxed{\sf{\green{Sides\:of\:triangle = 14\:units\:,\:35\:units\:and\:49\:units}}}$

$\underline{\red{\bigstar}{\underline{\bf{Given}}}\red{\bigstar}}$

Ratio of three sides of a triangle is 2:5:7

Perimeter of a triangle is 98 cm

$\underline{\red{\bigstar}{\underline{\bf{To\:Find}}}\red{\bigstar}}$

Sides of a triangle

$\underline{\red{\bigstar}{\underline{\bf{Solution}}}\red{\bigstar}}$

ㅤㅤ» Let :-

First side be 2s

Second side be 5s

Third side be 7s

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$\qquad:\implies\quad\sf Perimeter_{(Triangle)} = Sum\: of \:it's \:sides$

★ Putting all known values :-

$\qquad:\implies\quad\sf 98 = 2s + 5s + 7s$

$\qquad:\implies\quad\sf 98 = 14s$

$\qquad:\implies\quad\sf \dfrac{98}{14} = s$

$\qquad:\implies\quad\sf \dfrac{\cancel{98}}{\cancel{14}} = s$

$\qquad:\implies\quad{\boxed{\frak{\orange{s = 7\:units}}}}\:\blue{\bigstar}$

ㅤㅤㅤㅤㅤㅤ━━━━━━━━━━

Hence,

First side = 2s = 2 × 7 = 14 units

Second side = 5s = 5 × 7 = 35 units

Third side = 7s = 7 × 7 = 49 units

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Answer 2

Answer:

let the sides be 2x, 5xand 7x

2x + 3x + 5x = 98

10x = 98

x =98 ÷ 10

now

2x = 2×98 ÷ 10 = 19.6

5x = 5×98 ÷ 10 =49

7x = 7× 98 ÷ 10 = 68.6

I hope these will be correct