semi perimeter of a triangle cloth piece used to stitch a conical tent is____________ A)10 B)20 C)25 D)15 (the measures of triangle are 20,20,10)
Answers
Answer:
Correct Question -
In the marriage of Raj's brother Mahesh, 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 .
Find the total length of triangular pieces of white colour.
(a) 200 cm
(b) 300 cm
(c) 350 cm
(d) 400 cm
Solution :
Let us find the area of one of the triangular piece first .
For this , the sides are 10 cm , 20cm and 20 cm in length .
Semiperimeter -
> ( a + b + c )/2
> 25 cm .
Area :
> √s(s-a)(s-b)(s-c)
> √ 25 × ( 25 - 10)( 25 - 20)( 25 - 20)
> √ 25 × 15 × 5 × 5
> 25√15
The perimeter of the triangular piece -
> 10 cm + 20 cm + 20 cm
> 50 cm.
Perimeter of 6 pieces ( As there are two colours white and rec )
> 50 × 6
> 300 cm .
Hence Option (B) is the required answe
Step-by-step explanation: