Question

Find the area of the triangle field whose sides are 50 cm 45 cm 35 cm

Answer 1

ʜᴇʟʟᴏ ᴍᴀᴛᴇ!

So, we have sides of triangle = 50 cm, 45 cm, 35 cm.

We will use Heron's Formula to take out area of tringle having three given sides.

Heron's formula = √[ s( s - a )( s - b )( s - c )]
Where, s = ( a + b + c )/2

s = ( 50 + 45 + 35 )/2
= 130 / 2 = 65 cm

= √[ 65( 65 - 50 )( 65 - 45 )( 65 - 35 ) ] cm²

= √[ 5*13 × 5*3 × 5*2² × 5*2*3 ] cm²

= √[ 5⁴ × 13 × 3² × 2³ ] cm²

= 5² × 3 × 2 √[ 13*2 ] cm²

= 150√26 cm²

Hence, we can take value of √26 = 5.09 or 5.1

= 150*5.1 cm²

= 765 cm²

Hope it helps

Answer 2

Here is your solution

Given:-

Sides Of a Triangular Field are 50 , 45, 35, metre.

Let,
First Side = a
Second Side = b
Third Side = c

We know that

Semiperimeter = a+b+c/2

=> 50+45+35/2

=> 50+80/2

=> 130/2

=> 65

Hence semiperimeter is 65

Using Heron's Formula

Area = √s(s-a)(s-b)(s-c)

=> √65(65-50)(65-45)(65-35)

=> √65(15)(20)(30)

=> √ 585000

=> 764.85 m²

Now, we have to find
Required number of flower beds that can be prepared if each bed measures 5m²


=> 764.85m² /5m²

=> 152.97

153(approx)

Hence,
Required Number of flower beds = 153

Hope it helps you