answer should be using HERON'S FORMULA
Answers
Answer:
Step-by-step explanation:
Heron's Formula as below:
Semi-Perimeter s = a + b + c /2
A = √s(s-a)(s-b(s-c)
where a, b, c are the lengths of the sides of triangle.
1) a = 9.7 in, b = 17.6 in, c = 14.7 in.
s = 9.7 + 17.6 + 14.7 / 2= 21 in
=> Area = √21(21-9.7)(21-17.6)(21-14.7) = √21 * 11.3 * 3.4 * 6.3 = 71.3 in²
=> Perimeter = 2s = 2 * 21 = 42 in.
2) a = 13 in, b = 12.9 in , c = 12.2 in
s = 13 + 12.9 + 12.2/2 = 38.1 / 2= 19.05 in.
A = √ 19.05 (19.05 - 13)(19.05 - 12.9)(19.05 - 12.2)
= √19.05 * 6.05 * 6.15 * 6.85 = 69.68 in²
P = 2s = 38.1 in.
3) a = 4.2 in, b = 3.9 in, c = 5.7 in.
s = 4.2 + 3.9 + 5.7 /2 = 6.9 in.
A = √6.9(6.9 - 4.2)(6.9 - 3.9)(6.9 - 5.7) = √6.9 * 2.7 * 3 * 1.2 = 8.19 in²
P = 2s = 13.8 in.
4) a = 28.2 m, b = 13.5 m, c= 18.3 m
s = 28.2 + 13.5 + 18.3 /2 = 30 m.
A = √30(30 - 28.2)(30 - 13.5)(30 - 18.3)
= √30 * 1.8 * 6.5 * 11.7
= 64.08 m²
P = 2s = 2*30 = 60 m.