Math, asked by baldeep75288, 5 months ago

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

Answered by RvChaudharY50
0

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.

Learn more :

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In the fig, AB || CD,FIND x.(Hint:Prove that AOB-COD).

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Answered by nidaeamann
0

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

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