Math, asked by priyankashukla5807, 1 month ago

the base of a triangluar field is three times its height if the cost of cultivating the field at 1080 per hectare is 14580 find its base and height ​

Answers

Answered by xukoxi121
0

Step-by-step explanation:

Soln:-

Given,

Base is three time it's height.

Area of triangle will be division of total price by price oer hectre.

so,

 \frac{14580}{1080}

= 13.5 hectre

now,

let's height be x

the base will be 3x.

area \: of \: triangle =  \frac{1}{2}  \times b \times h

=> 13.5 = 1/2 × 3x × x

=> 13.5 =1/2 × 3x²

=> 13.5×2=3x²

=> 27=3x²

=> x²= 27/3

=> x²=9

=> x= ✓9

x=3

Then,

height=3

base = 3x

3×3=9

Answered by bagkakali
0

Answer:

we know, 1 hectare=10,000m^2

area of the triangular field

=14580/1080 hectare

=1458/108hectare

=162/12 hectare

=27/2 hectare

=27/2×10,000m^2

=27×5,000m^2

=135,000 m^2

let the height of the triangle is h m

so base =3h m

so area =1/2.3h.h m^2

=3/2h^2 m^2

so,

3/2h^2=135,000

h^2=135,000×2/3=45,000×2

h^2=90,000

=> h=300

so height of the triangle is 300m and base of the triangle=300×3m=900 m

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