Question

each side of an equilateral triangle measures 8 cm . find (i) the area of the triangle, correct to 2 places of decimal .​ and (ii) the height of the triangle , correct to 2 places of decimal.

Answer 1

Step-by-step explanation:

(I) Area of equilateral triangle =√3/4* (side) ^2

=√3/4* 8^2

= √3/4*64

= √3* 16

area of triangle = 16√3

Now, √3 (correct to 2 decimal places),= 1.73

So, Area of equilateral triangle = 16*1.73 (√3value)

= 27.68 cm

(II) Area of equilateral triangle = 27.68 cm

Base. = 8

height => Area of triangle = 1/2 * b*h

27.68. = 1/2*8*h

$= > \frac{27.68 \times 2}{8} = h$

$= > \: 6.92 = h$

therefore, Height = 6.92

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