Question

A conical tent is made by stitching 12 triangular pieces of cloth of two different colours red and white alternatively, each piece measuring 10cm,20cm and 20cm , then how much cloth of red colour is required to make a conical tent.​

Answer 1

Answer:

Oooo it's too easy. you should think on it

Step-by-step explanation:

sides of triangle 10,20,20

half parimeter of triangle=50/2=25

now we can find the area of triangle by herons formula

area=25√15

since there's 12 triangle and two colours so we have 6 triangle of each colour

so area of red colour clothe =25√15×6 =150√15 ans

like it if ans is right

Answer 2

Given:

A conical tent is made by stitching 12 triangular pieces

each piece measuring 10cm,20cm and 20cm

$s=\frac{a+b+c}{2}$

where a = 10 b = 20 c = 20

$\begin{array}{l}s=\frac{10+20+10}{2} \\\rightarrow s=\frac{50}{2} \\\therefore s=25 \mathrm{~cm}\end{array}$

Area of triangular piece is

$\begin{array}{l}\text { Area }=\sqrt{s(s-a)(s-b)(s-c)} \\s=25, a=10, b=20, c=20 \\\rightarrow \text { Area }=\sqrt{25(25-10)(25-20)(25-20)} \\\rightarrow \text { Area }=\sqrt{25 \times 15 \times 5 \times 5}\end{array}$

$\text { Area }=\sqrt{625 \times 15}\\\text { Area }=25 \sqrt{15} \mathrm{~cm}^{2}$

There are 12 triangle and two colours so we have 6 triangle of each colour

so area of red colour clothe =25√15×6

=150√15

Hence the answer is 150√15