Question

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

Answer 1

Heya !!



Let A = 50 cm , B = 45 cm and C = 35 cm.





Semi perimeter ( S ) = 1/2 × ( A + B + C )




=> 1/2 × ( 50 + 45 + 35 )



=> 1/2 × 130


=> 65 cm


( S - A ) = 65 - 50 = 15 cm



( S - B ) = 65 - 45 = 20 cm


And,


( S - C ) = 65 - 35 = 30 cm



Therefore,


Area of triangle = ✓S ( S - A )(S -B)(S - C)




=> ✓65 × 15 × 20 × 30



=> ✓585000 cm²




=> ✓ 2 × 2 × 2 × 5 × 5 × 5 × 5 × 3 × 3 × 13




=> 2 × 5 × 5 × 3 ✓ 2 × 13



=> 150✓26 cm².

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