Question

The area of the triangle is 150cm².and its sides are in the ratio 3:4:5. what is it's perimeter?​

Answer 1

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Answer 2

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The area of the triangle is 150cm² and its sides are in the ratio 3:4:5. What is it's perimeter?

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➪Area of triangle = 150cm²

➪Ratio of sides of triangle = 3:4:5

➪Area =

$⇒ \frac{1}{2} \times b \times h$

$⇒150 = \frac{1}{2} \times (3x)(4x)$

$⇒150 = \frac{1}{ \cancel2} \times \cancel{12} x$

$⇒150 = 6 {x}^{2}$

$⇒ \cancel\frac{150}{6} = {x}^{2}$

$⇒25 = {x}^{2}$

$⇒ \sqrt{25} = x$

$⇒5 = x$

➪Sides of triangle =

⇒3x = 3 × 5 = 15cm

⇒4x = 4 × 5 = 20cm

⇒5x = 5 × 5 = 25cm

➪Perimeter of triangle = sum of three sides of

triangle

⇒15 + 20 + 25

⇒60 cm