Question

① The perimeter of
Triangle is 36 cm and
its sides
are in the ratio a:b:c = 3 :4:5
Then Fund a, b, and c.​

Answer 1

Step-by-step explanation:

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Answer 2

$\underline\mathfrak{Given:-}$

• The perimeter of the triangle is 36 cm.
• Its side are in the ratio a : b : c

$\underline\mathfrak{To \: \: Find:-}$

• find the value of the a, b and c ...?

$\underline\mathfrak{Solutions:-}$

• Let the ratio of the side in triangle be 3x, 4x and 5x.

The perimeter of the Triangle = a + b + c

$\: \: \: \: \: \leadsto \: \: {3x} \: + \: {4x} \: + \: {5x} \: \: = \: \: {36}$

$\: \: \: \: \: \leadsto \: \: {12x} \: \: = \: \: {36}$

$\: \: \: \: \: \leadsto \: \: x \: \: = \: \: \cancel{\frac{36}{12}}$

$\: \: \: \: \: \leadsto \: \: x \: \: = \: \: {3}$

Now,

• 3x = 3 × 3 = 9cm
• 4x = 4 × 3 = 12cm
• 5x = 5 × 3 = 15cm

Hence, the value of a, b and c is 9cm, 12cm and 15cm.

$\underline\mathfrak{More \: \: Information:-}$

• Area of the rectangle = 1/2 × b × h

• Perimeter p = a + b + c

• Semi perimeter of triangle = 1/2(a + b + c)

where,

• b = base
• h = height
• a = side
• c = side