In geometry, Heron's formula (sometimes called Hero's formula), named after Hero of Alexandria, gives the area of a triangle by

Question

4 years ago

5

In geometry, Heron's formula (sometimes called Hero's formula), named after Hero of Alexandria, gives the area of a triangle by

requiring no arbitrary choice of side as base or vertex as origin, contrary to other formulae for the area of a triangle, such as half the base times the height. Use Heron's Formula to find the area, in square yards, of ΔABC.
A. 16.493
B. 14.697
C. 13.829
D. 15.585

Mathematics

1 answer:

White raven [17] · Answer 1 · 2021-11-24T06:10:31+03:00

White raven [17]4 years ago

8 0

Answer:B

Step-by-step explanation:

This is pretty trival, just plug the numbers in the formula.

Semi perimeter is = (5+6+7)/2 = 9

Area is sqrt((9)(9-7)(9-6)(9-5)= sqrt(3^2 * 2 * 3 * 2^2)

= approximately 14.6969 :) or B