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24 votes
24 votes
Find the area of a triangle who's side lengths are 13, 14, and 15. (The questions doesn't tell the type of triangle.)

User Jordan McQueen
by
2.4k points

1 Answer

17 votes
17 votes

Answer:

84 square units.

Explanation:

Area of scalene triangle:


\sf \boxed{\bf Area = √(s*(s-a)(s-b)*(s-c))}

Here, a, b and c are the sides of the triangle. s is the semi perimeter.

a = 13

b = 14

c = 15


\sf s= (a+b+c)/(2)\\\\ =(13+14+15)/(2)\\\\=(42)/(2)\\\\s = 21

s -a = 21 - 13 = 8

s -b = 21 - 14 = 7

s - c = 21 - 15 = 6


\sf Area = √(21*8*7*6)


= √( 7* 3 * 2 * 2 * 2 * 7 * 2 * 3)\\\\=7 * 3 *2*2\\\\= 84 \ square \ units

User Ininprsr
by
2.8k points