Question

A floral design on the floor is made up of 16 tiles which are triangular the sides of the triangle being 9cm 28cm and 35cm.find the cost of polishing the tiles at the rate of 50 paise per cm square

Answer 1

area of a triangle =root of s*(s-a)(s-b)(s-c)
s=a=b=c/2 that is 9+28+35=72/2=36
root of 36(36-9)(36-28)(36-35)=root of 36*27*8
=9*4*root 6=36 root 6*16*.50=288 root 6
=705.60

Answer 2

Hello mate =_=

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Solution:

Semi-perimeter of 1 triangular tile 

=s

=(9+28+35)/2=72/2=36 cm

Using Heron's formula, Area of 1 triangular tile 

=√{s(s−9)(s−28)(s−35)}

=√{36(36−9)(36−28)(36−35)}

=√{36×27×8×1}

=88.2 cm^2   (approx.)        

⇒ Area of 16 triangular tiles =16×88.2=1411.2 cm^2.

Polishing of 1 cm^2 of area costs 50 p

Polishing of 1411.2 cm^2 of area would cost =50×1411.2=70560p= Rs 705.60

hope, this will help you.

Thank you______❤

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