Question

Find perimeter of a triangle whose sides are in the ratio 3:4:5
If Area= 150cm²

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Answer 1

Answer:

Refer To The Attachment

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Answer 2

Answer:

Solution:

Perimeter of a triangle whose sides are in the ratio 3:4:5

Area = 150cm²

$\tt{ \sqrt{6x(6x - 3x)(6x - 4x)(6x - 5x)} }$

$\tt{ \sqrt{6x \times 3x \times 2x \times x} }$

$\tt{ \sqrt{36 {x}^{4} } }$

$\tt{ \mapsto6 {x}^{2} }$

Area Given 150cm²

So,

$\tt \pink{ \mapsto6 {x}^{2} = 150 }$

$\tt{ \mapsto \: {x}^{2} = \frac{150}{6} }$

$\tt{ \mapsto \: {x}^{2} = 25 }$

$\tt{ \mapsto \: x = \sqrt{25} }$

$\tt \pink{ \mapsto \: 5cm}$