Question

the sides of a triangular field are 51 cm 37cm 20 cm. find the number of flowers bed that can be prepared if each bed its to occupy 9cm² of space​

Answer 1

Step-by-step explanation:

semi perimeter=51+37+20÷2

s=108÷2=54cm

s-a=54-51=3cm

s-b=54-37=17cm

s-c=54-20=34cm

area \: of \: the \: triangle = \sqrt{s(s - a)(s - b)(s - c)} sq \: units

=

\sqrt{54 \times 3 \times 17 \times 34}

=

\sqrt{3 \times 3 \times 3 \times 3 \times 17 \times 17 \times 2 \times 2}

= 3 \times 3 \times 17 \times 2

=306 cm sq

area required for 1 rose bed=6 cm Sq

no.of rose beds in 1 cm sq=1/6

no. of rose beds in 306 cm sq =306×1/6

=51