Find the area of a triangle whose two sides are 12 inches and 14 inches long, and has a perimeter of 34 inches.
Mathematics · College · Mon Jan 18 2021
llm
Answered on
We have,
Perimeter = 34 in
a = 12 in
b = 14 in
c = ?
Semi Perimeter, S = 17
S = (a + b + c)/2
17 = (12 + 14 + c)/2
34 = 26 + c
c = 34 - 26
c = 8
We know,
Area of triangle = √S(S-a)(S-b)(S-c)
= √17(17- 12)(17-14)(17-8)
= √17×5×3×9
= √2295
= 47.91
Hence, Area of triangle is 47.91 in²