Question

Find the area of a triangle with a = 10, b = 16, C = 20 using Heron's Formula. Just type the number (rounded to the nearest tenth) in the blank.

Answer 1

Okay, here we have this:

Heron's Formula: Area=√(s(s-a)(s-b)(s-c)) and s=(a+b+c)/2

Replacing we obtain:

s=(10+16+20)/2=46/2=23

Using this in the area equation:

Area=√(s(s-a)(s-b)(s-c))=√(23(23-10)(23-16)(23-20))=√(23(13)(7)(3))=√6279=79.24

Finally we obtain that the correct answer is 79.24.