Question

the base of triangular field is 3 times its height and its area is 1350 m square find the triangle of base and height of the field

Answer 1

Let the height be x
Therefore the base = 3x
According to the problem,
1/2 × x × 3x = 1350
=> 3x^2/2 = 1350
=> x^2 = 1350×2/3
=> x^2 = 900
=> x = √900 = 30m
Height = x = 30m
Base = 3x = 3×30m = 90m
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Answer 2

The triangular field  base and height  is 90 meter and 30 meter respectively.

Step-by-step explanation:

Given:

Triangular field base is 3 times of its height.

Triangular field area is 1350 m square.

To Find:

The triangular field  base and height.

Formula Used:

$P=\frac{R\times S}{2}$       ---------------- formula no.01

P: area of the  triangular field

R: base of  the triangular field

S: height of of  the triangular field

Solution :

As given : Triangular field base is 3 times of its height.

                     $R=3S$   ------------- equation no.01.

As given: Triangular field area is 1350 m square.

$P=1350$

Applying the formula no. 01.

$P=\frac{R\times S}{2}$

$1350=\frac{3S\times S}{2}$

$2700=3S^{2}$

$S^{2} = 900$

$S=\sqrt{900}$

$S=30 \ meter$

Putting the value of S in equation no.01, we get.

$R=3\times S$

$R=3\times 30$

$R=90 \ meter$

Thus, The triangular field  base and height  is 90 meter and 30 meter respectively.