Q. 15.0( 2 Votes )

Find the area of a t

Answer :

(i)
Given: a = b = c = 4 cm
To Find: Area of the Triangle
Diagram:

As all sides are equal, it is an equilateral triangle.
we know that, 
Area of a equilateral triangle =
where, a = side of the triangle.
Putting a = 4 cm, we get,
Area of triangle = × (4)2
Area of triangle = 4√3 cm2

                                                                   
(ii)
Given: Hypotenuse = 13cm, one side = 5cm
To Find: Area of the right-angled triangle
Diagram:

Area of right angled triangle =  × base × height
Applying pythagoras theorem to find the other side, we get,

(Hypotenuse)2= (one side)+ (other side)2


Let the other side be x cm.

  13= x+ 52
⇒x2 = 169 - 25
⇒x2 = 144
⇒ x = 12 cm
Area of the right angled triangle=  × 12 × 5 = 30 cm2.

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