Question

A tent is made by stitching 4 triangular pieces of canvas, each piece measuring 12m, 12m, and 6m. How much canvas required to make the tent?

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Answer 1

Area required = 36√15 m²

Step-by-step explanation:

Given -

• Tent is made by stitching 4 triangular pieces of canvas with each side measuring 12m , 12m , and 6m.

To find -

• Amount of canvas required to make the tent.

Solution -

To find the area of the triangle we will need to use heron's formula , and for that we'll have to follow two steps ,

Step 1 - Calculate "s" (half of the triangle's perimeter) :

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

where , a , b , and c are the sides of the triangle.

Step 2 - Calculate the Area by using heron's formula :

$Area = \sqrt{s(s - a)(s - b)(s - c)}$

here , a , b , and c are the sides of the triangle.

Now , let's solve the question by following these steps :–

$\large s = \Large \frac{12 + 12 + 6}{2}$

$→ \large s = \Large \frac{ \cancel{30}}{ \cancel2}$

$→s = 15$

$Area = \sqrt{15(15 - 12)(15 - 12)(15 - 6)}$

$→Area = \sqrt{15(3)(3)(9)}$

$→Area = \sqrt{3 \times 5 \times 3 \times 3 \times 3 \times 3}$

$→Area = 3 \times 3 \sqrt{15}$

$→Area = 9 \sqrt{15} \: {m}^{2}$

This is the area of one triangular piece.

Hence , the area of 4 triangular pieces is ,

=> 4 × 9√15 m²

=> 36√15 m²

Therefore , the total amount of canvas required to make the tent is 36√15 m².

Answer 2

Step-by-step explanation:

we have to use heron's formula to solve the question