meena wants to make a cloth mask by joining two equal size triangular pieces of sides 5cm,8cm and 5cm . how much cloth has she required
Answers
Given :- meena wants to make a cloth mask by joining two equal size triangular pieces of sides 5cm, 8cm, and 5cm. How much cloth has she required ?
Solution :
we know that,
- when sides of A are given as a, b and c, than,
- semi perimeter (s)=(a + b + c)/2.
- Area of A = √[s * (s - a) * (s -b) * (s -c)]
given that, sides of triangular pieces are 5cm, 8cm and 5cm.
So,
→ s=(5+8+5)/2 =18/2 = 9cm.
Than,
→ Area of one triangular piece = √[9 * (9 - 5) *(9 - 8)*(9- 5)) = √[9* 4 * 1* 4] = √(3²* 4²) = 3*4= 12 cm².
Therefore,
→ Total area of two triangular pieces = 12 * 2 = 24 cm². (Ans.)
Hence Meens reuired 24cm² cloth to make cloth mask.
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Answer:
24
Step-by-step explanation:
We are given the dimensions of triangle as 5,5, 8.
Now area of triangle is
Area = 1/2 × base × height
Now in this case we know the base which is 8.
In order to find the height, we will use the pythagoras theorem where
H = 5,
Base = 4
Perpendicular = ?
Now applying pythagoras theorem,
Perpendicular = 3
This is the height of given triangle.
Area of triangle = 1/2 × 8 × 3
Area of one triangle = 12
So area of both triangles = 12 + 12 = 24