Question

Tanya joined four triangles of cardboard to create a mask of Joker as
shown in the given figure(i) . Find the total area of the mask.
(Given
2=1.41, 3=1.73)

Answer 1

Answer:

where is the figure of joker mask

Answer 2

Answer:

Area of mask = 71.45 sq. cm.

Step-by-step explanation:

Area of upper triangle of side 2 cm.

Base = 2/1 = 1 cm.

Height = √2² - 1² = √3 = 1.73 cm

2 * Area of upper triangle = 2* 1/2 * 1 * 1.73 = 2 * 1.73/2 = 1. 73 sq. cm

Area of lower left triangle:

Area= √s(s−a)(s−b)(s−c)

s = a + b + c / 2

s = 6 + 11 + 15 / 2 = 32/2 = 16

Area = √16(16−6)(16−11)(16−15)

 = √16(10)(5)(1)

 = √800

  = 20*√2

  = 28.2 sq. cm

Area of lower right triangle by Heron's formula:

s = 6 + 15 + 15 /2 = 18

Area =   √18(18−6)(18−15)(18−15)

      =  √16(12)(3)(3)

      = 4*3 * 2 * √3

      = 41.52 sq. cm.

Area of mask = 1.73 + 28.2 + 41.52

  = 71.45 sq. cm.