Question

Section - A (1 mark each)
1 The area of an equilateral triangle is 2 √3 cm. Find its side.
2 Calculate the side of an isosceles right triangle of hypotenuse 5√2cm.
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Answer 1

Answer:

Step-by-step explanation:

1)as the area of equilateral triangle = side^2 *(root3/4)

here, 2root3  = side^2 (root3/4)

root3 will cancel,

2=side^2/4

2*4 = side^2

8=side^2

root8 = side

2)Use Pythagorean theorem  a^2 +b^2 =c^2

c = 5(root2) 

The triangle is right and isosceles , so a = b 

a^2 +a^2 = (5root2)^2 

2a^2 = 25*2 

a^2 = 25 

a = 5 

so the length of other sides are 5 cm and 5 cm 

Answer 2

hala mate,

1:    a≈2.15

2:  Use Pythagorean theorem  a^2 +b^2 =c^2

     c = 5(root2) 

     The triangle is right and isosceles , so a = b 

      a^2 +a^2 = (5root2)^2 

      2a^2 = 25*2 

      a^2 = 25 

      a = 5 

      so the length of other sides are 5 cm and 5 cm

hope it helps!!