Question

the area of a trriangle is 150cmsquare and its sides are in the ratio 3:4:5 what is its perimeter​

Answer 1

Step-by-step explanation:

Area of ∆ =150 cm squ.

Let first side of ∆=3x

Let second side=4x

Let third side=5x

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Using Heron's Formula

$a = 3x \\ b = 4x \\ c = 5x \\ s = \frac{a + b + c}{2 } \\ s = \frac{3x + 4x + 5x}{2} \\ s = \frac{12x }{2} \\ s = 6x \\ \\ area \: of \: triangle = \sqrt{6x(6x - 3x)(6x - 4x)(6x - 5x)} \\ 120 = \sqrt{6x \times 3x \times 2x \times x } \\ 120 = \sqrt{36 { \times x {}^{2} }^{2} } \\ 120 = 6x {}^{2}$