Question

. 1 Find the length of height of an equilateral triangle of side 24 cm. Take by V3 = 1.73) ( II. The area of circle​

Answer 1

Answer:

20.76cm

Step-by-step explanation:

Let us assume the height of an equilateral triangle be h cm. Then, Area of the triangle = (1/2) × base × height

= ((1/2) × 24 ×h) cm2

Let the side of the equilateral triangle be a cm Area of the equilateral triangle = ((√3)/4) × (a)2 sq. Units

= (((√3)/4) × 24 ×24)

= (√3 × 144) cm2 ∴ ((1/2) × 24 ×h)

= (√3 × 144) = 12 h = (√3 × 144) =

h = (√3 × 144)/12 = h = (√3 × 12) = h = 1.73 × 12

= h = 20.76 cm

Hence, the height of an equilateral triangle is 20.76 cm  

Answer 2

Answer:

h=20.7cm

Step-by-step explanation:

area of equilateral triangle=√3/4a^2

=1.73×24×24/4= 249.1 cm^2

area of triangle =1/2 ×b×h

249.1=1/2×24×h

h= 249.1×2/24

h=20.7 cm