Question

The side of a triangle shaped sheet are 5 cm , 18 cm and 13 cm find the cost of painting on the sheet at the rate rupees 30 per centimetre square ?

Answer 1

$\red{Question:-}$

The sides of a triangle shaped sheet are 5cm, 18cm, 13cm. Find the cost of painting on the sheet at the rate of ₹30 per centimeters square.

$\green{Answer:-}$

Area of triangle by Heron's formula:-

Semiperimeter=

Perimeter/2

⇒Semiperimeter=(5+12+13)/2

⇒Semiperimeter=15

a=5, b=12, c=13

Area=√s(s-a)(s-b)(s-c)

⇒Area=√15(15-5)(15-12)(15-13)

⇒Area=√15×10×3×2

⇒Area=√900

⇒Area=30cm²

The costs at ₹30 per cm² is = 30 × 30= ₹900

Answer = 900

Answer 2

$\red{\color{white}{\fcolorbox{cyan}{black}{Answer:-}}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Area of triangle by Heron's formula:-

Semiperimeter= Perimeter/2

⇒Semiperimeter=(5+12+13)/2

⇒Semiperimeter=15

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

a=5, b=12, c=13

Area=√s(s-a)(s-b)(s-c)

⇒Area=√15(15-5)(15-12)(15-13)

⇒Area=√15×10×3×2

⇒Area=√900

⇒Area=30cm²

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

The costs at ₹30 per cm² is = 30 × 30= ₹900

Answer = 900

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀