Question

) The area of a triangle is 150 m2. The ratio of its base to its height is 3:4. Find the length of its base. /

Answer 1

↑ Here is your answer ↓
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Area of a triangle,

$= 1/2 * b * h$

Given that,

$b = 3x$

$h = 4x$

So,

$1/2 * 3x * 4x = 150$

$1/2 * 12x^2 = 150$

$6x^2 = 150$

$x^2 = 150/6$

$x^2 = 25$

$x = 5cm$

Now,

Length of the base,

$= 3x$

$= 3*5$

$= 15cm$

Answer 2

Heya

Your solution is given below :
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Given that,

Area of triangle => 150 cm^2

The ration => Base : height = 3 : 4

Let, the base = 3x

And the height = 4x

We know that area of triangle,

$= > area \: = 1 |2 \times base \: \times height| \\ = > 150 = 1 |2 \times 3 x\times 4x| \\ = > 150 \times 2 = 12 {x }^{2} \\ = > 300 |12 = {x}^{2} \\ = > 25 = {x}^{2} \\ = > x = \sqrt{25} \\ = > x= 5$
=> x = 5 cm

The length of height => 4x => 4 x 5 => 20 cn

the length of base => 3x => 3 x 5=> 15 cm.

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I hope it will help you

Thanks