Question

One side of an equilateral triangle measures 10 cm. Find its area using Heron's formula .What is its altitude?​

Answer 1

Step-by-step explanation:

Hello mate

Here is your answer

By using hero's formula we have

s= 1/2(a+b+c)

1/2*(10+10+10)

1/2*30. cm

= 15 cm

Now, Area = √s(s-a) (s-b) (s-c)

= √15*(15-10)(15-10)(15-10) cm^2

= √15*5*5*5. cm^2

= √5*5*5*5*3. cm^2

25√3. cm^2

Then altitude = 2*Area/base

= 2*25√3/10

= 50√3/10 cm

= 5√3 cm

hope it helps

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