Question

Use Heron's formula to find the area in square yards of ABC

Answer 1

37.95 yd^2 (to the nearest hundredth).

Explanation:

s = (7 + 11 + 12) / 2

= 30/2

= 15

Now plug in all the values:

Area = √ [s(s - a)(s - b)(s -c)]

= √ 15(15-7)(15-11)(15-12)

= √ 15*8*4*3

= √ 1440

= 37.95 yd^2.

Answer 2

see explanation

Explanation:

Calculate the semi perimeter s

s =
`(12+11+7)/(2)` =
`(30)/(2)` = 15

Substitute s = 15 into the area formula

A =
`√(15(15-12)(15-11)(15-7))`

=
`√(15(3)(4)(8))`

=
`√(1440)` = 12
`√(10)`